Fractions · Ages 8–9
Equivalent fractions worksheet
Part of: First fractions
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Equivalent fractions worksheet
Fractions · Ages 8–9
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.The two strips are the same length and have the same amount shaded. 23 = 6
Answer:
2.The two strips are the same length and have the same amount shaded. 14 = 2
Answer:
3.The two strips are the same length and have the same amount shaded. 12 = 3
Answer:
4.The two strips are the same length and have the same amount shaded. 12 = 4
Answer:
5.67 = 35
Answer:
6.1015 = 2
Answer:
7.1636 = 4
Answer:
8.25 = 25
Answer:
9.34 = 8 = 12
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
10.Which picture has the same amount shaded as 23?
- A
- B
- C
- D
Choose the right picture
Answer:
11.16 = 424
True or false?
Answer:
12.34 = 67
True or false?
Answer:
Part C: Word problems (4 marks each)
13.A rope is cut into 8 equal pieces and Ka-lok uses 2, which is 28 of the rope, or 1. What number goes in ?
Working:
Answer:
14.Ming eats 14 of a pizza. Ka-yan's pizza is the same size, cut into 12 equal slices. How many slices must Ka-yan eat to have the same amount as Ming?
Working:
Answer:
15.A chocolate bar has 12 small squares, and May eats 13 of the bar. How many squares does May eat?
Working:
Answer:
16.A rope is cut into 10 equal pieces and Tsz-hin uses 2, which is 210 of the rope, or 1. What number goes in ?
Working:
Answer:
17.A chocolate bar has 10 small squares, and Ka-lok eats 25 of the bar. How many squares does Ka-lok eat?
Working:
Answer:
18.Tsz-hin eats 14 of a pizza. Ka-yan's pizza is the same size, cut into 8 equal slices. How many slices must Ka-yan eat to have the same amount as Tsz-hin?
Working:
Answer:
Show the answers and working
Equivalent fractions worksheet: Answers and working
Part A: Working out and filling in
1. 4
Look at the strips: the lower one has 6 parts. How many of them match the shaded part of the upper strip?
The lower strip has 6 equal parts with 4 shaded: 23 = 46.
2. 8
The denominator is how many equal parts: count the lower strip's parts altogether.
The lower strip has 8 equal parts with 2 shaded: 14 = 28, so □ is 8.
3. 6
The denominator is how many equal parts: count the lower strip's parts altogether.
The lower strip has 6 equal parts with 3 shaded: 12 = 36, so □ is 6.
4. 2
Look at the strips: the lower one has 4 parts. How many of them match the shaded part of the upper strip?
The lower strip has 4 equal parts with 2 shaded: 12 = 24.
5. 30
The denominator goes from 7 to 35: what was it multiplied by? Multiply the numerator by the same.
The denominator 7 is multiplied by 5 to make 35, so multiply the numerator too: 6 × 5 = 30.
6. 3
The numerator goes from 10 to 2: what was it divided by? Divide the denominator by the same.
The numerator 10 is divided by 5 to make 2, so divide the denominator too: 15 ÷ 5 = 3.
7. 9
The numerator goes from 16 to 4: what was it divided by? Divide the denominator by the same.
The numerator 16 is divided by 4 to make 4, so divide the denominator too: 36 ÷ 4 = 9.
8. 10
The denominator goes from 5 to 25: what was it multiplied by? Multiply the numerator by the same.
The denominator 5 is multiplied by 5 to make 25, so multiply the numerator too: 2 × 5 = 10.
9. 6, 9
The denominator goes from 4 to 8: multiplied by what? Do the same to the numerator. The other box works the same way.
Denominator × 2, so numerator × 2: 6; denominator × 3, so numerator × 3: 9.
Part B: Choose, or true or false
10. A
Equal fractions come from multiplying the numerator and denominator by the same number. Write each picture as a fraction and check.
Multiply the numerator and denominator of 23 by 2: 3 × 2 equal parts with 2 × 2 shaded is the same amount.
11. True
From 16 to 424: were the numerator and denominator multiplied by the same number, or had the same number added?
Only multiplying or dividing the numerator and denominator by the same number keeps the size; adding doesn't.
12. False
From 34 to 67: were the numerator and denominator multiplied by the same number, or had the same number added?
Only multiplying or dividing the numerator and denominator by the same number keeps the size; adding doesn't.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 4
The numerator of 28 goes from 2 to 1: divided by what? Divide the denominator by the same.
Divide the numerator and denominator by 2: 28 = 14.
14. 3 slices
Ka-yan's pizza has 12 slices, so each of Ming's parts is cut into how many? Then how many slices make 1 parts?
14 = 312, so 3 slices.
15. 4 squares
First find 13 of the bar: 12 ÷ 3 squares. Then take 1 of those.
13 = 412: 4 squares.
16. 5
The numerator of 210 goes from 2 to 1: divided by what? Divide the denominator by the same.
Divide the numerator and denominator by 2: 210 = 15.
17. 4 squares
First find 15 of the bar: 10 ÷ 5 squares. Then take 2 of those.
25 = 410: 4 squares.
18. 2 slices
Ka-yan's pizza has 8 slices, so each of Tsz-hin's parts is cut into how many? Then how many slices make 1 parts?
14 = 28, so 2 slices.
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