Question

Nick wants to write a fraction multiplication problem as an addition problem. Which choice shows the correct way Nick can do this work?

A. 2 x 2/5 = 5/2 + 5/2
B. 3 x 3/5 = 3/5 + 3/5 + 3/5
C. 1 x 4/7 = 1/7 + 1/7 + 1/7 + 1/7
D. 6 x 1/3 = 1/6 + 1/6 + 1/6

Answer 1

To solve this problem, we want to identify which option demonstrates that multiplication of a whole number by a fraction can be expressed as repeated addition of that fraction.

Let's analyze each option:

A. 2 x 2/5 = 5/2 + 5/2
- This is incorrect because it does not represent multiplication as addition in the way we need.

B. 3 x 3/5 = 3/5 + 3/5 + 3/5
- This is correct because it shows that multiplying 3 by 3/5 can be viewed as adding 3/5 three times.

C. 1 x 4/7 = 1/7 + 1/7 + 1/7 + 1/7
- This is incorrect because 1 x 4/7 should equal 4/7, but the addition shows only 1/7 four times, which is incorrect.

D. 6 x 1/3 = 1/6 + 1/6 + 1/6
- This is also incorrect because this does not represent 6 multiplied by 1/3 accurately. It should represent the addition of 1/3 six times.

Therefore, the correct choice is:

**B. 3 x 3/5 = 3/5 + 3/5 + 3/5**