Question

divide. 1\frac{1}{2}\div1\frac{3}{4}=

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$ and $1\frac{3}{4}=\frac{1\times4+3}{4}=\frac{7}{4}$

Step2: Change division to multiplication

$\frac{3}{2}\div\frac{7}{4}=\frac{3}{2}\times\frac{4}{7}$

Step3: Multiply the fractions

$\frac{3\times4}{2\times7}=\frac{12}{14}$

Step4: Simplify the fraction

$\frac{12\div2}{14\div2}=\frac{6}{7}$

Answer:

$\frac{6}{7}$