Fraction Detectives Worksheet

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Date:

🔎 Part 1: Find the Fraction Clues

Remember: The denominator tells how many equal parts make the whole. The numerator tells how many parts are selected. Equivalent fractions name the same amount, even when they look different.

Key: ■ means selected and □ means not selected.

1. Match each fraction model to its fraction. Write the correct letter beside each fraction.

A: ■■□□ B: ■■■□□□ C: ■□□□ D: ■■■■□

____ 1/4 ____ 2/4 ____ 3/6 ____ 4/5

2. Circle the pairs that are equivalent.

1/2 and 2/4

1/2 and 2/3

2/4 and 3/6

1/3 and 2/6

3. Draw a number line from 0 to 1. Mark and label 1/4, 1/2, 2/4 and 3/4.

⚖️ Part 2: Compare, Order and Explain

4. Write <, > or = in each box.

a) 2/6 ____ 5/6

b) 3/8 ____ 6/8

c) 4/5 ____ 4/7

d) 2/4 ____ 1/2

5. Order these fractions from least to greatest: 5/6, 1/6, 3/6 and 4/6.

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6. Maia ate 2/8 of a pizza. Wiremu ate 5/8 of an equal-sized pizza. Who ate more? Explain using the denominator and numerator.

7. A ribbon is divided into 4 equal parts. Hana uses 2/4 of it. Leo says this is the same as 1/2. Is Leo correct? Prove your answer with a drawing, number line or words.

8. Exit ticket

a) Draw and label 3/4.

b) Circle the greater fraction: 2/6 5/6

c) Are 1/2 and 2/4 equivalent? Explain briefly.

✅ Answer Key

1. 1/4 = C; 2/4 = A; 3/6 = B; 4/5 = D.

2. 1/2 and 2/4; 2/4 and 3/6; 1/3 and 2/6.

3. The number line should show 1/4 and 2/4 halfway between 0 and 1, with 3/4 nearer to 1. 1/2 and 2/4 should be at the same point.

4. a) < b) < c) > d) =

5. 1/6, 3/6, 4/6, 5/6.

6. Wiremu ate more because the denominators are the same, and 5 selected parts is greater than 2 selected parts.

7. Yes. 2/4 and 1/2 cover the same amount of the whole, so they are equivalent fractions.

8. a) A correct drawing with 3 of 4 equal parts selected. b) 5/6. c) Yes, 1/2 and 2/4 are equivalent.

Curriculum link: Te Mātaiaho Mathematics and Statistics, Number—rational numbers, equivalent fractions, and comparing fractions with the same numerator or denominator.