Answer:
[tex]-2\frac{3}{8}[/tex]
Step-by-step explanation:
We are given the following expression and we are to solve it:
[tex]\frac{-\frac{3}{4} -\frac{1}{5} }{\frac{2}{5} }[/tex]
Firstly, we will take the LCM of the fractions in the denominator to make it a single fraction and then solve further:
[tex]\frac{\frac{-3(5)-1(4)}{20} }{\frac{2}{5} }[/tex]
[tex]\frac{\frac{-15-4}{20} }{\frac{2}{5}}[/tex]
[tex]\frac{-\frac{19}{20} }{\frac{2}{5} }[/tex]
Changing the division into multiplication by taking a reciprocal of the denominator:
[tex]-\frac{19}{20} *\frac{5}{2}[/tex]
[tex]-\frac{19}{8}[/tex]
[tex]-2\frac{3}{8}[/tex]
