Nick wants to write a fraction multiplication problem as an addition problem. Which choice shows the correct way Nick can do this work? (1 point)

Question

Responses


2 x 2/5 = 5/2 + 5/2

1 x 4/7 = 1/7 + 1/7 + 1/7 + 1/7

6 x 1/3 = 1/6 + 1/6 + 1/6

3 x 3/5 = 3/5 + 3/5 + 3/5

Answer 1

To convert a multiplication problem involving a whole number and a fraction into an addition problem, you can express the multiplication as repeated addition of the fraction.

Let's analyze each option:

1. 2 x 2/5 = 5/2 + 5/2
   This is incorrect because it incorrectly represents the multiplication.

2. 1 x 4/7 = 1/7 + 1/7 + 1/7 + 1/7
   This is incorrect because it incorrectly represents the value of 1 multiplied by the fraction.

3. 6 x 1/3 = 1/6 + 1/6 + 1/6
   This is incorrect because the sum of three 1/6 does not equal 6 x 1/3.

4. 3 x 3/5 = 3/5 + 3/5 + 3/5
   This is correct! It represents the multiplication accurately as repeated addition.

Therefore, the correct choice is: 3 x 3/5 = 3/5 + 3/5 + 3/5.