Scaling a fraction's name up and down

Mathematics · Fractions · ages 9-10

Name ______________________ Date ____________

You multiply both parts of 1/2 by 3. What is the new denominator?
- 2
- 3
- 6
Fill in the missing number: 4/5 = ?/10
Answer: ______________
Fill in the missing number: 2/3 = 12/?
Answer: ______________
Which fraction is equivalent to 3/4?
- 6/8
- 4/5
- 3/8
This strip shows 6 shaded parts out of 9. Which fraction below is NOT equivalent to it?
- 2/3
- 4/6
- 3/4
Multiply the numerator and denominator of 1/4 by 5. What is the new numerator?
Answer: ______________
Which fraction is equivalent to 5/6?
- 10/12
- 10/6
- 5/12
- 6/7
What number do you multiply the numerator and denominator of 3/5 by to get 9/15?
- 2
- 3
- 4
Zoe says 2/5 and 4/10 look like different fractions, so they can't be equal. Is she right?
- Yes, the numbers are different so the fractions differ
- No, times 2 on top and bottom turns 2/5 into 4/10
- Yes, because 10 is bigger than 5
A fraction equivalent to 3/5 has a denominator of 100. What is its numerator?
Answer: ______________

Answer key

For grown-ups. Fold this page away before handing over the rest.

6 · Denominator 2 x 3 = 6, so the new fraction is 3/6.
8 · Multiplying the top and bottom of 4/5 by 2 gives 8/10, which is the same value.
18 · The top was multiplied by 6, so multiply the bottom by 6 too. That keeps the fraction the same.
6/8 · 6/8 comes from multiplying 3/4 by 2 on both the top and bottom, so it names the same amount.
3/4 · 2/3 and 4/6 both equal 6/9 when scaled up. 3/4 is a different amount.
5 · 1 x 5 = 5, so the new fraction is 5/20.
10/12 · Multiplying the top and bottom of 5/6 by 2 gives 10/12, the same value written with bigger numbers.
3 · 3 x 3 = 9 and 5 x 3 = 15, so the multiplier is 3.
No, times 2 on top and bottom turns 2/5 into 4/10 · Multiplying the numerator and denominator of 2/5 by 2 gives 4/10, so both name the same amount.
60 · 100 / 5 = 20, so multiply the numerator by 20 too: 3 x 20 = 60.