Question

-3/4 - 1/5 divide by 2/5

can you please give the answer and step by step instructions on how you got it

Answer 1

`-2(3)/(8)`

Explanation:

We are given the following fractions to divide:

`\frac {\frac { -3 } { 4 } - \frac { 1 } { 5 } } { \frac { 2 } { 5 } }`

Taking LCM of the fractions in the numerator to simplify it into a single fraction:

`\frac { \frac { -15 - 4 } { 20} } {\frac {2} {5} }`

`\frac {\frac{-19} {20} } {\frac {2} {5} }`

Taking reciprocal of the fraction in the denominator to change it to multiplication:

`-(19)/(20)` ×
`(5)/(2)`

`-(19)/(8)`

Changing this improper fraction into a mixed number:

`-2(3)/(8)`

Answer 2

`(-19)/(8)`

Explanation:

Find the attachment below for a step by step explanation.