Answer:
[tex]$10 \frac{14}{15} $[/tex]
Step-by-step explanation:
Given :
[tex]$\frac{21}{4}-\left(\frac{13}{5}+\frac{\frac{25}{6}}{\frac{25}{8}} \right)$[/tex]
[tex]$= \frac{21}{4}-\left(\frac{13}{5}+\frac{25}{6} \times \frac{8}{25} \right)$[/tex]
[tex]$=\left( \frac{21}{4}-\frac{13}{5}\right)+\frac{4}{3} $[/tex]
[tex]$=\left( \frac{105-52}{20}\right)+\frac{4}{3} $[/tex]
[tex]$= \frac{53}{20}+\frac{4}{3} $[/tex]
[tex]$= \frac{53}{5}+\frac{1}{3} $[/tex]
[tex]$=\frac{159+5}{15}$[/tex]
[tex]$=\frac{164}{15}$[/tex]
[tex]$=10 \frac{14}{15} $[/tex]
