Question

$-\frac{4}{7}div-\frac{16}{11}$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is multiplying by its reciprocal. So $-\frac{4}{7}\div(-\frac{16}{11})=-\frac{4}{7}\times(-\frac{11}{16})$.

Step2: Multiply numerators and denominators

Multiply the numerators $(- 4)\times(-11) = 44$ and the denominators $7\times16=112$. So we get $\frac{44}{112}$.

Step3: Simplify the fraction

Find the greatest - common divisor of 44 and 112, which is 4. Divide both the numerator and denominator by 4: $\frac{44\div4}{112\div4}=\frac{11}{28}$.

Answer:

$\frac{11}{28}$