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Fraction Calculator

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An online multi fraction calculator is used for adding, subtracting, multiplying, and dividing 2 or 3 fractions. If you are stuck in some complex problems that are in fractional form, then you are at the right page. Let this free fraction converter convert your complicated ratios in simplified form in a blink of moments.

Let’s go deeper enough to understand the theory of the topic under discussion!

What Is The Fraction?

“A fraction will include two numbers, one above the other”

Mathematically:

$$ \frac{a}{b} $$

Parts of a Fraction:

Following are the three parts of the fraction:

Numerator:

It is the number that is written on the top of the line. Basically, this number tells you how many parts of the total have been taken in equal amounts.

Denominator:

The number below the line is known as the denominator that indicates the total amount of the amounts.

Vinculum:

The division line that separates both numerator and denominator is called the vinculum.

Look at the following pictorial representation of the fraction parts that will clear your concept in more depth:

parts of a fraction

Now whatever the numbers above and below the line are, this best online calculator fractions resolves them immediately and lets you grip over the calculations.

Types of Fractions:

We have various kinds of fractions that are described in terms of numerator and denominator and can also be resolved with this online multiple fraction calculator. Let’s discuss them!

Proper Fraction:

“A fraction in which the numerator is smaller than the denominator is said to be a proper fraction.”

For example:

$$ \frac{2}{3} $$

Improper Fraction:

“It is a fraction type in which the numerator is greater than that of the denominator.”

For example:

$$ \frac{6}{4} $$

Unit Fraction:

“A fraction in which the numerator is always 1 is called the unit fraction.”

For example:

$$ \frac{1}{7} $$

Mixed Numbers:

“When you combine a whole number and a fraction, the resulting expression is actually a mixed number.”

For example:

$$ 5\frac{8}{9} $$

Note:
The simplification of a mixed number or fraction always yields an improper fraction that you can also judge with this 3 fraction calculator.

Like Fractions:

“Two or more fractions that have the same denominator are termed as like fractions.”

For example:

$$ \frac{1}{7} \hspace{0.25in} and \hspace{0.25in} \frac{6}{7} $$

Unlike Fractions:

“As the name suggests, these are the fractions that have different denominators.”

For example:

$$ \frac{2}{9} \hspace{0.25in} and \hspace{0.25in} \frac{4}{3} $$

Now you could resolve sets of various unlike fractions with our simple fraction calculator unlike denominators.

Equivalent Fractions:

“The fractions which give the same answer after simplification are known as equivalent fractions.”

For example:

$$ \frac{1}{3} \hspace{0.25in} and \hspace{0.25in} \frac{2}{6} $$

A little bit of technicality is involved here but do not worry as this fractioncalculator can do these computation in moments for you.

Fraction Rules:

This online calculator with fractions considers some basic maths rules in order to resolve various fractions. Get going ahead to elaborate these particular operations:

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)#

Example:

#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)#

Example:

#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)#

Example:

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

Division:

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

Example:

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

Fraction Tables:

In this section, we have arranged various tables that highlight those fractions or sets of fractions that are most used in maths calculations. So let’s go through these tables one by one.

Simple Fractions:

Value

As a Fraction
2

2/1

4

4/1
15

1/5

6 5

6/5
1 10

1/10

1

1/1
12

1/2

3

3/1
5

5/1

1/2

1/2
7

7/1

2 5

2/5
10

10/1

6 1

6/1
1 4

1/4

5 8

5/8
5 3

5/3

-0.2

-2/10

You can also cross verify these values by using this free fraction calculator in seconds.

Fractions Being Added:

Fraction Combination To Be Added

Result
3/4 + 3/4 

1 1/2

1/3 + 1/3

2/3
1/2 + 1/4

3/4

1/2 + 1/3

5/6

1 2 3 4 (1/1 + 2/1 + 3/1 + 4/1)

10 (10/1)

2 4 1 4 (2/1 + 4/1 + 1/1 + 4/1)

11 (11/1)

1 4 2 4 (1/1 + 4/1 + 2/1 + 4/1)

11 (11/1)
5 2 1 2 (5/1 + 2/1 + 1/1 + 2/1)

10 (10/1)

2 5 3 4 (2/1 + 5/1 + 3/1 + 4/1)

14 (14/1)
1 4 2 3 (1/1 + 4/1 + 2/1 + 3/1)

10 (10/1)

3 1 2 1 1 3 (3 1/2 + 1 1/3)

4 5/6

The add fraction calculator also simplifies and generates the same results but in a blink of moments that saves you a lot of time.

Fractions Being Multiplied:

Fractions To Be Multiplied

Result
2 3 times 1 4

1/6

1 1 2 x 2

3 (3/1)
1 1 4 x 2

2 1/2

3 4 x 3 4

9/16
1 4 x 1 4 x 1 4

1/64

2 3 x 1 4

1/6
3 8 x 3

1 1/8

Use this elegant multiply fraction calculator to check whether these outcomes are true or not. Not only this, but you can check any combination of fractions that are being multiplied with each other.

Fractions Being Division:

Fractions To Be Divided

Result 
1 4 divided by 2

1/8

4 5 divided by 3 4

1 1/15
3 1 2 divided by 2

1 3/4

3 5 8 divided by 2

1 13/16
6 divided by 3

2

You can also verify all these table values by taking into consideration the use of our best divide fractions calculator. What are your thoughts on it?

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 do it manually, and let we elaborate it with examples!

Same Denominators:

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.

Different Denominators:

So, what do you have to do? Do not panic as with our adding fractions with unlike denominators calculator, you have to do just nothing to get precise outputs instantly. But for the sake of our convenience, let’s go through the process manually once!

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 two fraction, If so, simply, you can try the fraction calculator online for adding, subtracting, multiplying, and dividing 3 fractions. Apart from it, the method is similar to the above one, but with one small tweak.

Example:

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

Same Denominators:

Subtracting fractions with same denominators is just like that of the addition. But what is changed here is the negative sign instead of addition. Get going through the example problems below to understand the concept more visibly:

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 it:

2/4 = 1/2

Different Denominators:

Now here the online subtraction fraction calculator also aids in swiftly subtracting any pair of fractions that are having unlike denominators. But to analyse such problems by hand, you need to maximise your grip by resolving the example below:

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?

For instant calculations, try the online multiplying fractions calculator that helps you to do multiplication of fractions for same or different denominator. And, if you aim to do 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.

How To Divide Fractions?

Try the simple dividing fractions calculator that helps you to perform division of fractions instantly. And, if you aim to do it yourself, then look at the given steps:

  • 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). This case is also known as the fraction divided by fraction rule.
  • 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 example, 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, read on!

How Reduce Fraction Calculator Works?

Quit worrying, this fraction equation calculator shows you the step-by-step calculations for different maths operators. All you need to do is stick to the given steps of this fraction solver and get precise results.

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 minus sign (-), this negative fraction calculator helps you to solve such problems, all you need to do is insert the negative sign while adding the values into the designated fields. Also, this tool will solve proper/improper fractions and with unlike and like denominators fractions.
  • Once you enter fractions values into the designated fields, hit the calculate button!

Outputs:

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 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)

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 is a fraction between 0 and 1?

A proper fraction is also said to be 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 is 1.5 as a fraction?

The fractional form of the given decimal form is 3/2 that could also be verified by using the best fractions in simplest form calculator.

How would you convert 150% to the decimal form?

The equivalent decimal form of the given percent value is the 1 1/2. And when it comes to doing these calculations swiftly, then you can use another percent to decimal calculator.

Conclusion:

Fractions are very important because they let you know what partition of the whole you actually need. So, adding, subtracting, multiplying, and dividing fractions becomes easy with the above fraction calculator with steps.

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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