Question

divide.
$\frac{-1}{10}div\frac{-1}{4}=$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{-1}{10}\div\frac{-1}{4}=\frac{-1}{10}\times\frac{4}{-1}$.

Step2: Multiply numerators and denominators

Multiply the numerators $(-1)\times4 = - 4$ and the denominators $10\times(-1)=-10$. So we have $\frac{-4}{-10}$.

Step3: Simplify the fraction

The negative signs cancel out and $\frac{4}{10}$ simplifies to $\frac{2}{5}$ by dividing both the numerator and denominator by 2.

Answer:

$\frac{2}{5}$