Question

Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction Two-fifths times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 4 Over 15 EndFraction Three-halves times StartFraction 15 Over 4 EndFraction Five-halves times StartFraction 15 Over 4 EndFraction

Answer 1

Which multiplication expression can be used to check this division problem: StartFraction 2 Over 5 EndFraction divided by StartFraction 4 Over 15 EndFraction = StartFraction 3 Over 2 EndFraction

Two-fifths times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 4 Over 15 EndFraction

Three-halves times StartFraction 15 Over 4 EndFraction

Five-halves times StartFraction 15 Over 4 EndFraction

Explanation:

( B) AKA 3/2 x 4/15 . This is correct because I just took the test

Answer 2

Given:

`(2)/(5)/ (4)/(15)=(3)/(2)`

To find:

The correct multiplication that can be used to check this division problem.

Solution:

We have,

`(2)/(5)/ (4)/(15)=(3)/(2)`

`((2)/(5))/((4)/(15))=(3)/(2)`

Multiply both sides by
`(4)/(15)`.

`((2)/(5))/((4)/(15))* (4)/(15)=(3)/(2)* (4)/(15)`

`(2)/(5)=(3)/(2)* (4)/(15)`

So, the required multiplication is
`(3)/(2)* (4)/(15)`.

Therefore, the correct option is B.