Question

-3/4 - 1/5 divide by 2/5 = ?
can you explain how to work this problem also

Answer 1

`-2(3)/(8)`

Explanation:

We are given the following expression and we are to solve it:

`(-(3)/(4) -(1)/(5) )/((2)/(5) )`

Firstly, we will take the LCM of the fractions in the denominator to make it a single fraction and then solve further:

`((-3(5)-1(4))/(20) )/((2)/(5) )`

`((-15-4)/(20) )/((2)/(5))`

`(-(19)/(20) )/((2)/(5) )`

Changing the division into multiplication by taking a reciprocal of the denominator:

`-(19)/(20) *(5)/(2)`

`-(19)/(8)`

`-2(3)/(8)`