Medium📚 Fractions

Add 2/3 + 3/4 Step by Step

Grades 5-6KS2/KS3

Problem

Calculate: 2/3 + 3/4

📝Step-by-Step Solution

Find the common denominator

The denominators are 3 and 4. The least common multiple (LCM) of 3 and 4 is 12.

LCD = 12

Convert the first fraction

Multiply 2/3 by 4/4 to get an equivalent fraction with denominator 12: 2/3 × 4/4 = 8/12

2/3 = 8/12

Convert the second fraction

Multiply 3/4 by 3/3 to get an equivalent fraction with denominator 12: 3/4 × 3/3 = 9/12

3/4 = 9/12

Add the fractions

Now add the numerators: 8/12 + 9/12 = 17/12

8/12 + 9/12 = 17/12

Convert to mixed number (optional)

Since 17 > 12, this is an improper fraction. 17 ÷ 12 = 1 remainder 5, so 17/12 = 1 5/12

17/12 = 1 5/12

✅Final Answer

17/12 or 1 5/12

When adding fractions with different denominators, we must first convert them to equivalent fractions with a common denominator. The LCD (least common denominator) makes the math easier, though any common denominator works.

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Learn more about Fractions

This worked example is part of the broader fractions guide. Review the method, practice related skills, and create a printable assessment when you are ready.

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📖More Fractions Examples

Add Fractions Step by Step

Add the fractions: 1/4 + 2/3

Easy

Subtract Fractions Step by Step

Subtract the fractions: 5/6 - 1/4

Easy

Multiply Fractions Example

Multiply the fractions: 2/3 × 4/5

Easy

Divide Fractions Example

Divide the fractions: 3/4 ÷ 2/5

Medium

Back to Fractions Guide

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