Question

divide.
$1\frac{1}{10} \div 1\frac{5}{6}$
?
answer as a fraction in
simplest form. enter the
numerator.

Explanation:

Step1: Convert mixed numbers to improper fractions

$1\frac{1}{10}=\frac{1\times10 + 1}{10}=\frac{11}{10}$
$1\frac{5}{6}=\frac{1\times6 + 5}{6}=\frac{11}{6}$

Step2: Divide the fractions (multiply by reciprocal)

$\frac{11}{10}\div\frac{11}{6}=\frac{11}{10}\times\frac{6}{11}$

Step3: Simplify the product

Cancel the common factor 11: $\frac{\cancel{11}}{10}\times\frac{6}{\cancel{11}}=\frac{6}{10}$
Simplify $\frac{6}{10}$ by dividing numerator and denominator by 2: $\frac{6\div2}{10\div2}=\frac{3}{5}$

Answer:

3