Add Fractions Calculator

Add two fractions by entering them below. Enter whole numbers by using a space between the whole number and the fraction.

Fraction One:
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Fraction Two:
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Result as a Fraction:

 

Result as a Decimal:

 

Steps to Solve



How to Add Fractions

You can add two fractions in three easy steps.

Follow along with this example showing how to add 13 and 14.

one pie graph with three total slices and one slice highlighted and a second pie graph with four total slices and one slice highlighted

Step One: Convert to Fractions with a Common Denominator

step 1 to add a fraction is to make the denominators match

The first step to add fractions is to make the denominators of each fraction match. Convert each one to an equivalent fraction with a matching denominator to the other.

Find the Lowest Common Denominator

You’ll need to find the lowest common denominator for each of the fraction’s denominators. The lowest common denominator is the smallest number that each denominator can evenly divide into.

Find the Multiplier

Next, find the multiple for each denominator that can be multiplied to equal to the lowest common denominator. To find the multiple for each fraction, divide the least common denominator by denominator.

Multiply by the Multiplier

Then, multiply both the top and bottom number of the fraction the multiple to find the equivalent fractions with matching denominators. You can also use an equivalent fractions calculator to find one with a matching denominator.

For example, let’s convert the fractions 13 and 14 to fractions with the same denominator.


Find the least common denominator. The least common denominator of 3 and 4 is 12.


Find the multiple for 13
multiple = lcd ÷ denominator
multiple = 12 ÷ 3 = 4

Find the equivalent fraction of 13 using the multiple 4
13 = 1 × 43 × 4
13 = 412


Find the multiple for 14
multiple = lcd ÷ denominator
multiple = 12 ÷ 4 = 3

Find the equivalent fraction of 14using the multiple 3
14 = 1 × 34 × 3
14 = 312


Thus, the equivalent fractions of 13 and 14 are 412 and 312

one pie graph with twelve total slices and four slices highlighted and a second pie graph with twelve total slices and three slices highlighted

Step Two: Add the Numerators

step 2 to add fractions is to add the numerators

Once the bottom numbers of each fraction match, add the top numbers of each together to find the result.

Simply add the numerators together and put them over the common denominator.

For example, let’s continue the previous example and add 412 & 312.

412 + 312 = 4 + 312
412 + 312 = 712

After both fraction denominators are the same, add numerators together to solve

Step Three: Simplify the Fraction

step 3 to add fractions is to reduce and simplify

The final step to add fractions is to reduce the result to its simplest form. Start by finding the greatest common factor of the top and bottom parts of the result.

Then, divide both the top and bottom numbers by the greatest common factor to reduce it. An even easier way to reduce is to use our fraction simplifier.

You can also add fractions using our fraction calculator.