1. Calculate $15 \%$ of $\frac{1+\frac{11}{24}}{\frac{5}{8}-1.5}$.
1. Calculate $15 \%$ of $\frac{1+\frac{11}{24}}{\frac{5}{8}-1.5}$.

## Solution.

Adding fractions in the numerator:

$1+\frac{11}{24}=\frac{24+11}{24}=\frac{35}{24}$

Subtracting fractions in the denominator:

1 POINT

$\frac{5}{8}-1.5=\frac{5}{8}-\frac{3}{2}=\frac{5-12}{8}=-\frac{7}{8}$

Calculating the double fraction:

Simplifying in the double fraction:

$\frac{\frac{35}{24}}{-\frac{7}{8}}=-\frac{35 \cdot 8}{24 \cdot 7}=-\frac{5}{3}$

Converting the percentage to a fraction:

1 POINT

Calculating the desired percentage:

1 POINT

$\frac{15}{100} \cdot\left(-\frac{5}{3}\right)=-\frac{1}{4}$