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