Answer:
[tex]-2\frac{3}{8}[/tex]
Step-by-step explanation:
We are given the following fractions to divide:
[tex] \frac {\frac { -3 } { 4 } - \frac { 1 } { 5 } } { \frac { 2 } { 5 } } [/tex]
Taking LCM of the fractions in the numerator to simplify it into a single fraction:
[tex] \frac { \frac { -15 - 4 } { 20} } {\frac {2} {5} } [/tex]
[tex] \frac {\frac{-19} {20} } {\frac {2} {5} } [/tex]
Taking reciprocal of the fraction in the denominator to change it to multiplication:
[tex]-\frac{19}{20}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]-\frac{19}{8}[/tex]
Changing this improper fraction into a mixed number:
[tex]-2\frac{3}{8}[/tex]
