Equivalent Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Multiply 1/5 top and bottom by 3 to get 3/15.
Multiplying numerator 1 and denominator 5 by 3 gives 3/15, equivalent to 1/5.
2. Multiply 2/3 top and bottom by 10 to get 20/30.
Multiplying both parts of 2/3 by 10 gives 20/30, equivalent to 2/3.
3. Multiply 3/8 top and bottom by 3 to get 9/24.
Multiplying numerator 3 and denominator 8 by 3 gives 9/24, equivalent to 3/8.
4. Multiply 5/6 top and bottom by 5 to get 25/30.
Multiplying both parts of 5/6 by 5 gives 25/30, equivalent to 5/6.
5. Multiply 2/9 top and bottom by 3 to get 6/27.
Multiplying numerator 2 and denominator 9 by 3 gives 6/27, equivalent to 2/9.
6. Multiply 1/7 top and bottom by 5 to get 5/35.
Multiplying both parts of 1/7 by 5 gives 5/35, equivalent to 1/7.
7. Multiply 4/9 top and bottom by 3 to get 12/27.
Multiplying numerator 4 and denominator 9 by 3 gives 12/27, equivalent to 4/9.
8. Multiply 3/10 top and bottom by 5 to get 15/50.
Multiplying both parts of 3/10 by 5 gives 15/50, equivalent to 3/10.
9. Multiply 2/11 top and bottom by 3 to get 6/33.
Multiplying numerator 2 and denominator 11 by 3 gives 6/33, equivalent to 2/11.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
1/5 multiplied by 3
→ 3/15
3/15
2/3 multiplied by 10
→ 20/30
20/30
3/8 multiplied by 3
→ 9/24
9/24
5/6 multiplied by 5
→ 25/30
25/30
Scaling top and bottom by the same factor preserves the value, giving an equivalent fraction.