Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

divide. $\frac{-1}{6}div\frac{-1}{15}=$

Question

divide.
$\frac{-1}{6}div\frac{-1}{15}=$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{-1}{6}\div\frac{-1}{15}=\frac{-1}{6}\times\frac{15}{-1}$.

Step2: Multiply the numerators and denominators

$(-1)\times15=-15$ and $6\times(-1)= - 6$. So the result is $\frac{-15}{-6}$.

Step3: Simplify the fraction

$\frac{-15}{-6}=\frac{15}{6}=\frac{5}{2}=2.5$.

Answer:

$2.5$