Easy📚 Fractions

Add Fractions Step by Step

Grades 5-6Key Stage 2Årskurs 4-6

Problem

Add the fractions: 1/4 + 2/3

📝Step-by-Step Solution

Check the denominators

The denominators are 4 and 3. Since they are different, we need to find a common denominator before we can add.

Find the least common denominator (LCD)

List multiples of 4: 4, 8, 12, 16... List multiples of 3: 3, 6, 9, 12... The LCD is 12.

LCD of 4 and 3 = 12

Convert the first fraction

Multiply 1/4 by 3/3 to get denominator 12: 1/4 × 3/3 = 3/12

1/4 = 3/12

Convert the second fraction

Multiply 2/3 by 4/4 to get denominator 12: 2/3 × 4/4 = 8/12

2/3 = 8/12

Add the numerators

Now that denominators match, add the numerators: 3/12 + 8/12 = 11/12

3 + 8 = 11, so 3/12 + 8/12 = 11/12

Simplify if possible

Check if 11/12 can be simplified. Since 11 and 12 share no common factors, 11/12 is already in simplest form.

✅Final Answer

11/12

To add fractions: (1) Find a common denominator, (2) Convert both fractions, (3) Add the numerators, (4) Keep the denominator the same, (5) Simplify if needed. Remember: NEVER add the denominators!

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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 2/3 + 3/4 Step by Step

Calculate: 2/3 + 3/4

Medium

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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