Answer:
- 5 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{m}{-\frac{6}{5} }[/tex] , is equivalent to
m ÷ - [tex]\frac{6}{5}[/tex] , substitute given value of m
= 6 [tex]\frac{3}{4}[/tex] ÷ - [tex]\frac{6}{5}[/tex] ( change mixed number to improper fraction )
= [tex]\frac{27}{4}[/tex] ÷ - [tex]\frac{6}{5}[/tex] ( leave first fraction, change ÷ to × , flip second fraction )
= [tex]\frac{27}{4}[/tex] × - [tex]\frac{5}{6}[/tex] ( cancel 27 and 6 by 3 )
= [tex]\frac{9}{4}[/tex] × - [tex]\frac{5}{2}[/tex] ( multiply values on numerator/ denominator )
= - [tex]\frac{9(5)}{4(2)}[/tex]
= - [tex]\frac{45}{8}[/tex]
= - 5 [tex]\frac{5}{8}[/tex]
