Equivalent Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Multiply both numerator and denominator of 1/2 by 3 to get 3/6.
Multiplying top and bottom by 3 keeps the same value, so 1/2 equals 3/6.
2. Multiply both numerator and denominator of 2/3 by 5 to get 10/15.
Multiplying numerator and denominator by 5 gives 10/15, equivalent to 2/3.
3. Multiply both parts of 1/4 by 10 to get 10/40.
Multiplying numerator and denominator by 10 gives 10/40, equivalent to 1/4.
4. Multiply both parts of 3/5 by 3 to get 9/15.
Multiplying top and bottom of 3/5 by 3 gives 9/15, equivalent to 3/5.
5. The fraction 2/5 multiplied top and bottom by 5 equals 10/25.
Multiplying numerator 2 and denominator 5 by 5 gives 10/25, equivalent to 2/5.
6. Multiply 1/3 top and bottom by 10 to get 10/30.
Multiplying both parts of 1/3 by 10 gives 10/30, equivalent to 1/3.
7. Multiply 3/4 top and bottom by 3 to get 9/12.
Multiplying numerator 3 and denominator 4 by 3 gives 9/12, equivalent to 3/4.
8. Multiply 2/7 top and bottom by 3 to get 6/21.
Multiplying both parts of 2/7 by 3 gives 6/21, equivalent to 2/7.
9. Multiply 4/5 top and bottom by 5 to get 20/25.
Multiplying numerator 4 and denominator 5 by 5 gives 20/25, equivalent to 4/5.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
1/2 multiplied by 3
→ 3/6
3/6
2/3 multiplied by 5
→ 10/15
10/15
1/4 multiplied by 10
→ 10/40
10/40
3/5 multiplied by 3
→ 9/15
9/15
Multiplying top and bottom by the same number keeps the value, giving an equivalent fraction.