Question

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

Answer 1

Answer:

$-2\frac{3}{8}$

Step-by-step explanation:

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

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

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

$\frac{\frac{-3(5)-1(4)}{20} }{\frac{2}{5} }$

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

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

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

$-\frac{19}{20} *\frac{5}{2}$

$-\frac{19}{8}$

$-2\frac{3}{8}$