How to Add Three Fractions Altogether (Three Fractions)

Learn how to add three fractions altogether.

Adding 3 fractions can be done in the following way:

Step 1 First find the common denominator of your 3 fractions. Decide which number all the denominator divide into without a remainder (this is also known as the lowest common multiply)

Step 2 Make equivalent fractions have the denominator worked out in step 1.

Step 3 Add the 3 fractions altogether. Simplify your final answer if necessary or change the fraction to a mixed number if the questions states this.

Example 1

Add together these 3 fractions:

1/2 + 3/5 + 1/10

Step 1

The common denominator is 10 as 2, 5 and 10 all divide into 10.

Step 2

The equivalent fractions are:

½ = 5/10

3/5 = 6/10

1/10 = 1/10 (unchanged)

Step 3

5/10 + 6/10 + 1/10 = 12/10 = 6/5

Example 2

Add together these 3 fractions:

2/5 + 1/3 + 3/10

Step 1

The common denominator is 30 as 5, 3 and 10 all divide into 30.

Step 2

The equivalent fractions are:

2/5 = 12/30

1/3 = 10/30

3/10 = 9/30 (unchanged)

Step 3

12/30 + 10/30 + 9/30 = 31/30 (or 1 1/30 if you prefer mixed numbers)

For some more help try these links:

Adding or taking fractions 1

Adding or taking fractions 2

Real life fraction problems

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