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Year 6 Fractions Guide

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Year 6 Fractions Guide worksheet preview

Year 6 Fractions Guide

Fraction strips and pizza slices illustration

📚 Understanding Fractions

What is a fraction?

A fraction shows part of a whole. It's written like this: numerator/denominator

Numerator (top number) = How many parts you have

Denominator (bottom number) = How many equal parts the whole is divided into

Example: In 3/8 of a pizza, you have 3 slices out of 8 total slices

1. Circle the numerator in each fraction:

a) 2/5 b) 7/10 c) 3/4

2. What does the denominator tell us?

How many parts we have

How many equal parts the whole is divided into

The biggest number

3. If you eat 5 pieces of a chocolate bar that has 12 pieces total, write this as a fraction:

Answer: _____/_____ of the chocolate bar

🔄 Equivalent Fractions

Equivalent fractions look different but show the same amount!

Example: 1/2 = 2/4 = 4/8 (they're all half!)

How to find equivalent fractions:

Multiply (or divide) both the numerator AND denominator by the same number

Example: 1/3 × 2/2 = 2/6

4. True or False: 3/6 is equivalent to 1/2

True

False

5. Find an equivalent fraction for 2/5 by multiplying by 3:
6. Circle all fractions equivalent to 1/4:

2/8

3/12

4/12

5/20

➕ Adding Fractions

Rule: You can only add fractions when the denominators are the same!

Same denominators: Add the numerators, keep the denominator

Example: 2/7 + 3/7 = 5/7

Different denominators: Make them the same first using equivalent fractions

Example: 1/2 + 1/4 = 2/4 + 1/4 = 3/4

7. Add these fractions with the same denominator:

a) 1/6 + 2/6 = _____

b) 3/10 + 4/10 = _____

8. Add 1/3 + 1/6 (Hint: change 1/3 to sixths first)
9. Which addition is correct?

1/5 + 2/5 = 3/10

1/5 + 2/5 = 3/5

1/5 + 2/5 = 2/5

10. Challenge: Add 1/4 + 1/8 + 1/8

Show your working:

Answer: _____

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