Question

Divide: 3/4 divided by 2/5
A. 2 1/5
B. 3 3/4
C. 2 3/5
D. 1 7/8

Answer 1

D.
`1(7)/(8)`

Explanation:

Okay when dividing fractions remember to use the KCF rule

`(3)/(4)` ÷
`(2)/(5)`

KEEP CHANGE FLIP

`(3)/(4)` x
`(5)/(2)`

So now me multiply the numerators and the denominators

3 x 5 = 15

4 x 2 = 8

So
`(15)/(8)` But that's not an answer choice so we convert the improper fraction into a mixed fraction

So, when divide 15 by 8 to get 1.875

Now we use the quotient/answer which is 1 as the whole number

The remainder will the numerator which is 7

And the denominator is always the denominator of the improper fraction itself which is 8

So we write the Improper fraction as is
`1(7)/(8)`

We can check our answer by converting the mixed fraction that we wrote back into its improper form

`1(7)/(8)`
`((1x8+7))/(8)` =
`(15)/(8)`