Question

Simplify: $\frac{-16}{35}÷\frac{-15}{14}$

Answer 1

Firstly convert $÷$ to $\times$

$\frac{-16}{35}÷\frac{-15}{14}=\frac{-16}{35}\times \frac{14}{-15}=\frac{-16\times 14}{35\times -15}=\frac{-224}{-525}$

By multiplying $-1$ on both numerator and denominator

we get, $\frac{-224}{-525}=\frac{-224\times -1}{-525\times -1}=\frac{224}{525}$

By dividing further by $7$ into lowest terms we get,

$\frac{224}{525}=\frac{32}{75}$.