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Fraction Calculator

 Figure out whole numbers with Mixed Number Calculator and Fraction Simplifier

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An online fraction calculator is an online tool that is used for adding, subtracting, multiplying, and dividing 2 or 3 fractions. Also, this calculator for fractions for works efficiently both for proper or improper fractions. Sometimes, this calculator also referred to as 3 fraction calculator it allows you to simplify the 3 fractions.

Well, give a read to this post to understand how to multiply fractions, divide fractions, subtract fractions, and add fractions (manually or using fractions calculator), and all you need to know about the fractions.

So, let’s begin with some basics that might be helpful for you!

What are Fractions?

A fractional number or fraction will include two numbers, one above the other that written as a/b. The first number found above the line, which is said to be as a numerator. And, the second number is placed below the line, which is known as denominator.

The denominator is referred to as the total number of equal parts into which something is divided, and the numerator shows how many of these equal parts need to be taken into account. If you want to solve fractional numbers instantly, then simply use the calculator with fractions.

Key point:

  • The simplest and easy way to remember that fractions is the reference to the line, which separates each number as “Out of.” So, a fraction written as 4/5 simply indicates to 4 pieces out of 5 equal sections.

Example of Fraction:

Angelina, Jenifer, and George want to share a candy bar evenly!

Do you know what part of the bar will each of them take?

So, what part of the candy bar will Angelina and Jenifer have together?

The children ought to divide the candy bar into three equal pieces. So, from this everyone will take 1/3 of the candy bar. Angelina and Jenifer together will have two pieces, hence, according to the mathematical terms, they will have 2/3 candy bar.
Well, before understanding how to add, subtract, divide, or multiply the fractions, you should beware of some basic rules of fraction. Read on!

Fraction Rules:

Now, let’s ahead to find the types of fractions!

Addition:(same denominators)

#A/B + C/B = (A + C)/B#

Example:

#3/4 + 9/4 = (3 + 9)/4 = 12/4#

Subtraction:(same denominators)

#A/B – C/B = (A – C)/B#

Example:

#7/4 – 2/4 = (7 – 2)/4 = 5/4#

Addition:(different denominators)

#A/B + C/D= (A * D)/(B * D) + (B * C)/(B * D)=((A * B) + (B * C))/(B * D)#

Exapmle:

#4/3 + 2/5= (4 * 5)/(3 * 5) + (3 * 2)/(3 * 5)=((4 * 5) + (3 * 2))/(3 * 5)=(20+6)/8=26/8#

Subtraction:(different denominators)

#A/B – C/D= (A * D)/(B * D) – (B * C)/(B * D)=((A * B) – (B * C))/(B * D)#

Exapmle:

#4/3 – 2/5= (4 * 5)/(3 * 5) – (3 * 2)/(3 * 5)=((4 * 5) – (3 * 2))/(3 * 5)=(20-6)/8=14/8#

Multiplication

#(A/B) * (C/D)=(A*C)/(B*D)#

Exapmle:

#(3/2) * (4/5) = (3*4)/(2*5) = 6/20#

Division

#(A/B) ÷ (C/D) =(A/B)×(D/C) = (A * D)/(B*C)#

Exapmle:

#(3/2) ÷ (4/5) = (3/2)×(5/4) = (3*5)/(2*4)=15/8#

Types of Fractions:

Well, there are four most common types of fractions, they are:

Unit Fraction:

In a fraction, the numerator with 1 is said to be a unit fraction. For example, 1/2, 1/4.

Proper Fraction:

If a numerator value is less than the value that in denominator, it is said to be as a proper fraction. Example: 6/10, 8/9.

Improper Fraction:

If a numerator value is greater than the value that in denominator, it is said to be as a improper fraction. Example: 9/5, 12/10.

Mixed Fraction:

If a fractional number or fraction consists of a whole number along with a proper fraction, then it is said to be as a mixed fraction. Example: 5 4/6, 12 ½.

Well, these are the four important and main types of fractions, but, there are other two types of fraction that are used in different mathematical problem, they are:

Like Fractions:

The fractions that are with the same denominator is said to be as a like fraction.

Example: 5/4, 7/4, 9/4

You can see that the denominators of all the fractions are 4. Hence, it is known as a like fraction.

Unlike Fractions:

The fractions that are with different denominators is said to be an unlike fraction.

Example: 6/2, 3/6, 8/4.

You can see that denominator values are different in all the fractions. Hence, it is referred to as unlike fractions. However, you can try the fraction calculator for adding and subtracting fractions with unlike denominators.

How to Add Fractions:

For instant and quick calculations, you can try adding fractions calculator for adding fractions with same or different denominators. And, if you want to make fraction addition manually, and then let we elaborate it with examples!

How to add fractions with same denominator:

Example:

Let’s we add the fraction 1/4 to 1/4

1/4 + 1/4

Here, both denominators are already the same, so you can ahead to the next step and add 1 to 1

Remember that the second half of the fraction stays the same, so adding fractions with like denominators stays the same, so adding the fractions 1/4 and 1/4 equals to 2/4 (or 1/2).

So, 1/4 + 1/4 = 2/4 (or 1/2)

You can check out the answer by adding the same values into the above fraction addition calculator.

How to Add Fractions with Different Denominators:

Maybe you sometimes heard that adding fractions with different denominators are not possible or you can’t do it at all! If so, that’s wrong, to understand about adding fractions with unlike denominators, take a look at the given example! But, remember that you use this way when the numerators and denominators are small (it said, 15 or under):

So, what you have to do,

Step 1:

Simply, cross-multiply the two fractions and add the results together to get the numerator of the answer.
Let’s say you have to add the fractions 1/3 and 2/5. So, to attain the numerator of the answer, simply begin with cross- multiply. More specifically, you ought to multiply the numerator of each fraction by the denominator of the other.

1/ 3 + 2/5

1*5 = 5

2*3 = 6

Now, you have to add the results to get the numerator of the answer:

5 + 6 = 11

Step 2:

Now, simply multiply the two denominators together to attain the denominator of the answer.

Well, to get the denominator, all you need to need to multiply the denominators of the two fractions:

3 * 5 = 15

So, the denominator of the answer is 15.

Step 3:

So, now simply write your answer as a fraction, that is:

1/3 + 2/5 = 11/15

Well, sometimes, you may have to add more than one fraction, so, what you can do for adding 3 fractions! Simply, you can try 3 fraction calculator online for adding, subtracting, multiplying, and dividing fractions. Apart from it, the method is similar to the above one, but with the one small tweak.

Example:

Add fractions:

1/2 + 3/5 + 4/7

Step 1:

At first, begin by multiplying the numerator of the first fraction by the denominators of all the other fractions, means:

1/2 + 3/5 + 4/7

1 * 5 * 7 = 35

Step 2:

In this step, you ought to do the same with the second fraction and add this value to the first, let’s take a look:

1/2 + 3/5 + 4/7

35 + (3 * 2 * 7) = 35 + 42

Step 3:

You ought to do the same with the remaining fractions:

1/2 + 3/5 + 4/7

35 + 42 + (4 * 2 * 5) = 35 + 42 + 40 = 117

So, you got the numerator of the answer.

Step 4:

So, to attain the denominator, all you need to multiply all the denominators together:

1/2 + 3/5 + 4/7

35 + 42 + 40 / 2 * 5 * 7 = 117/70

Now, you maybe need to reduce or change in proper fraction to a mixed number. In the above example, simply you need to change to a mixed number:

117/70 = 117 divided by 70 = 1r47 = 1 47/70

Now, get ready to know about the fraction subtraction.

How to subtract fractions?

All you need to add the values into the subtracting fractions calculator that is used for subtracting fractions with same or different denominators. But, if you want do it manually, then give a read!

Example 1:

Let’s solve 3/4 – 1/4

Step 1:

  • First you have to make sure that the bottom numbers (the denominators) are the same, here is the same, now let’s proceed to step 2

Step 2:

  • Now, you have to subtract the top numbers and then put the answer over the same denominator

3/4 – 1/4 = 3 – 1/4 = 2/4

Step 3:

  • Now, simplify the fraction:

2/4 = 1/2

How to Subtract Fractions with Different Denominators?

The simplest way to subtract fractions that have different or unlike denominators is given below:

Step 1:

You ought to begin with cross-multiplications of the two fractions and right after subtract the second number from the first to get the numerator of the answer. Look at the given example for subtracting fractions with unlike denominators.

Example:

Subtract 6/7 – 2/5?

Step 1:

To attain the numerator, simply cross-multiply the two fractions and very next subtract the second number from the first number:

For example, suppose you want to subtract 6/7 – 2/5. If you want to get the fraction’s numerator, then you ought to cross-multiply the two fractions and very next subtract the second number from the first number:

6/7 – 2/5

(6 * 5) – (2 * 7) = 30 – 14 = 16

Once you cross-multiply, make sure that you do the subtraction in the correct order. (The first number is said to be the numerator of the first fraction times the denominator of the second)

Step 2:

Now, all you need to multiply the two denominators together to attain the denominator of the answer.

7 * 5 = 35

Step 3:

Now, you ought to put the numerator over the denominator to get your answer.

16/35

How to multiply fractions?

If you are looking for the quickest way for fraction multiplication, then simply use the multiplying fractions calculator that helps you to do multiplication of fractions for same or different denominator. And, if you aim to do fraction multiplication with paper and pencil, then read on!

Multiplying fraction is quite easy as all you need to multiply the top numbers (numerators) and the bottom numbers (denominators).

Example:

Suppose that you want to multiply the fractions 1/3 and 1/2:

By multiplying numerators you will get 1

And, by multiplying denominators you will get 6.

So, your answer is 1/6

It’s clear that there you’re not expected to find the common denominator through multiplication.

So, what about the fraction division, let’s dive in!

How to divide fractions?

Try the simple dividing fractions calculator that helps you to perform division of fractions. And, if your teacher said to show your work, then these steps are for you!

At first, you need to turn the second fraction (it is the one that you want to divide by) upside down (now, this is said to be a reciprocal)

Right after, all you need to multiply the first fraction by that reciprocal

Finally, simplify the fraction (if required)

Example:

1/2 ÷ 1/6

Step 1:

  • From the above fractions, simply turn the second fraction upside down (you get a reciprocal)

1/6 becomes 6/1

Step 2:

  • Now, you ought to multiply the first fraction by the attained reciprocal

1/2 × 6/1 = 1 × 6/2 × 1 = 6/2

Step 3:

  • Now, simplify the fraction, it becomes:

6/2 = 3

Thankfully, from the above-mentioned stuff you come to know how to add, subtract, multiply, and divide manually, so what about if you want to do it with our calculator with fractions, read on!

Online Calculator for Fractions:

Well, give a read to know about fractions calculators one by one and even their functionality:

Adding Fractions Calculator:

The adding fraction calculator is works as a fraction adder that helps you for adding fractions with like and unlike denominators. It doesn’t matter at all, whether you want to perform adding corresponding to 2 or 3 fractions, this fraction adder will do best for you.

Subtracting Fractions Calculator:

The subtracting fraction calculator is a smart tool that specifically designed for subtracting fractions with unlike/like denominators. This subtraction calculator for fractions does calculations for both 2 and 3 fractions.

Fraction multiplication calculator:

The multiply fractions calculator is works as a fraction multiplier that helps you to do fraction multiplication calculations for the given inputs. This multiplying fraction tool provides you with the instant and precise measurements.

Dividing Fractions Calculator:

The divide fractions calculator is works as fraction divider that allows you to do fraction division calculations corresponding to the given fraction values. So, if you want to solve fraction divided by fraction expressions, then simply add the values into the fraction divider to get the results.

How to Add, Multiply, Subtract, and Divide Fractions with Fraction Calculator?

Quit worrying, this calculator with fraction packed with a user-friendly interface, all you need to stick to the given steps to solve the fractions with this fraction solver.

Inputs:

  • First of all, select the option from the drop-down menu whether you have 2 fractions or 3 fractions
  • Very next, you have to add the values of fractions into the designated boxes
  • Right after, you ought to select the operator for the given fraction

Note: If your fraction problem contains negative sign (-), this negative fraction calculator helps you to solve such fraction, all you need to add the negative sign while adding the values into the designated fields. Also, this fraction finder will solve proper/improper fractions or also with unlike and like denominators fractions.

Outputs:

Once you entered fractions values into the designated fields, hit the calculate button!

If you selected 2 fractions, then this online fraction calculator will generate:

  • Fraction value corresponding to given inputs
  • Step-by-step calculations for the given result
  • If you entered the improper fractions, then this tool also shows you the mixed number fraction for your result
  • Change your result in decimal form (if possible)

If you selected 3 fractions, then this calculator for fractions will generate:

  • Fraction value according to the 3 fractions that you entered
  • If you added the improper fractions, then this calculator also shows you the mixed number fractions
  • Fraction result in decimal form (if possible)

Common Mistakes and Things to Look Out For Fractions:

No doubt, it can be quite easy to get overwhelmed while adding and subtracting fractions. Typically, students will add or subtract numerators or denominators of 2 fractions, and mostly they fail to recognize the connection between denominators. For further additions to the confusion, the numerators and denominators must be approach as whole numbers while performing calculations, for instance, when there is a need to multiply a fraction.

For better understanding, let’s take an example:

Adding together 3/4 and 1/6.

  • First of all, simply get the denominators the same, so it means multiply them to get 24.
  • Here, you multiplied the denominators of fractions that is 4 by 6 to get 24, now you have to multiply the numerator by 6 also to get 18/24
  • Now, you ought to multiply the numerator by 4 also to get 4/24
  • Then, all you need to add 18/24 to 4/24 to get 22/24 that simplifies to 11/12

Few Other Common Mistakes Are:

  • When it comes to adding or subtracting fractions, people mostly forget to first convert fractions so that they have a common denominator
  • Also, they generally changing the denominator of a fraction without completing the essential changes to the numerator
  • Misunderstanding happened completely corresponding to the question: for instance, multiplying the fraction rather than adding, or dividing the fraction rather than subtracting
  • Also, most people leaving the denominator unchanged during the questions that associate to multiplication or addition

Mathematicians depicted that while working with fractions, one should have better understanding about the relationship between the mixed numbers and improper fraction, and also how to turn each into the other.

FAQ’s:

Is there a calculator for fractions?

Yes, there is an online fraction calculator that will allow you to add, subtract, multiply or divide the fractions with like or unlike denominators.

What fraction is bigger?

When it comes to larger fraction, the numerator should be larger (denominators are same) and/or numerators are same (denominator should be smaller. For instance 100/3, 120/3, 140/3 and 100/20, 100/30, 100/40 respectively.

How do you figure out mixed fractions?

If you want to a convert a mixed fraction to an improper fraction, then simply follow the given steps:

  • First of all, simply multiply the whole number part by the fraction’s denominator
  • And, also that to the numerator
  • Then, all you need to write the result on the top of the denominator

What is 2.5 as a fraction?

2.5 are expressed in fraction as 5/2.

What is the easiest way to calculate fractions?

The easiest and fastest way is to use an online fraction calculator or if you want to show your work manually, then simply stick to the method that we discussed earlier.

Which is the largest fraction 3/4 or 7/8?

7/8 is greater than 3/4 as 7/8 = 0.875 and 3/4 = 0.75.

How do you find the smallest fraction?

Remember that as the fraction’s denominator gets larger, the fraction gets smaller. When it comes to comparing fractions with like numerators, look at the fraction’s denominators. The fraction with the smaller denominator is said to be as the larger fraction.

What fraction is bigger 2/3 or 3 4?

2/3 fraction is bigger than 3/4 as 2/3 = 0.667 and 2/4 = 0.5.

What is 7/4 as a mixed number?

7/4 is written as the mixed number 1 3/4, where one is said to be as the whole-number part, and three-fourth is said to be as the fractional part.

How do I write fractions?

It is quite simple, you can write down fractions as:

  • 1/2 = one half
  • 1/3 = one third
  • 3/4 = three fourths
  • 2/7 = two seventh
  • 10/19 = ten nineteenth

What fraction is bigger 3 4 or 1 2?

3/4 is bigger than 1/2 as 3/4 = 0.75 and 1/2 = 0.5.

How do you find a common denominator?

All you need to find the smallest number that each denominator will divide into or multiply the denominators of the fractions together. Once you know about the common denominator, you have to create fractions with this denominator, then add or subtract.

What is a fraction between 0 and 1?

A proper fraction is also said to be as a proper number, it is referred to as a fraction that is between 0 and 1. These are the fractions that will have a smaller number up top than on bottom.

What fraction is 3/8 equivalent to?

A fraction that is equivalent to 3/8 is 6/16.

Which fraction is bigger 2/3 or 5/6?

5/6 is bigger than 2/3 as 5/6 = 0.8333 and 2/3 = 0.6666.

What is 11/3 as a mixed number?

11/3 is written as the mixed number 3 2/3.

What is 7/3 as a mixed number?

7/3 is written as the mixed number 2 1/3.

Endnote:

So, adding, subtracting, multiplying, and dividing fractions becomes easy with the above fraction calculator. Account this simple fraction solver and say goodbye to fraction related problems. Good luck!

References:

From the source of Wikipedia, the free encyclopedia: Forms of fractions, Arithmetic with fractions: Comparing fractions and much more

From the source of wikihow: How to Do Fractions – a complete guide to understanding fractions

The ducksters provided you with: how to add and subtract fractions – example of subtracting and adding fractions (step by step solution)

From the source of wikijob: What Are Fractions and the easiest ways to calculate fractions

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