Question

Find the quotient. Write fraction in simplest form.

$-10\frac{2}{7}÷\left(-4\frac{4}{11}\right)$

Answer 1

Step 1:Convert the mixed fractions to improper fractions

$-10\frac{2}{7}÷\left(-4\frac{4}{11}\right)$

$=-\frac{72}{7}÷\left(-\frac{48}{11}\right)$

Step 2: Perform the division

$a÷b=a\times \frac{1}{b}$

$$\begin{gathered} -\frac{72}{7}\times \left(-\frac{11}{48}\right) \\ =\frac{(-72)\times (-11)}{7\times 48} \\ =\frac{24\times 3\times 11}{7\times 24\times 2} \\ =\frac{3\times 11}{7\times 2} \\ =\frac{33}{14} \end{gathered}$$.

The quotient in simplest form is $\frac{33}{14}$..