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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.
In other terms, this calculator will help you in:

  • Adding fractions with like and unlike denominators
  • Subtracting fractions with unlike/like denominators
  • Multiplying fractions numerator together and denominator together to reduce the fraction to the lowest terms
  • dividing fractions to reduce the result to lowest terms

A  fraction will include two numbers, one above the other that written as a/b. 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.

Well, give a read to this text to understand how to multiply divide, subtract, and add fractions (step-by-step or using a calculator) and much more!

What Are The Fraction Rules:

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#

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!

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.

Add Fractions with Different Denominators?

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 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 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!

Subtract Fractions With Same Denominator:

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

Subtract Fractions with Different 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?

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.

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 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)
  • 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 to Add, Multiply, Subtract, and Divide Fractions with Calculator?

Quit worrying, this calculator with fraction shows you the step-by-step calculations for different math operators. All you need to 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 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.

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 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 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.

Endnote:

So, adding, subtracting, multiplying, and dividing fractions becomes easy with the above fraction calculator. So, consider this free tool to solve your math-related problems!

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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