Question

complete the first step of finding the quotient. rename the mixed number as an improper fraction.
$4\frac{1}{3}\div1\frac{1}{4}=\frac{?}{3}\div\frac{1}{4}$

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$ and $1\frac{3}{4}=\frac{4\times1+3}{4}=\frac{7}{4}$
The division becomes $\frac{5}{4}\div\frac{7}{4}$

Step2: Use the rule of fraction division

$\frac{5}{4}\div\frac{7}{4}=\frac{5}{4}\times\frac{4}{7}$

Step3: Simplify the product

$\frac{5\times4}{4\times7}=\frac{5}{7}$

Answer:

$\frac{5}{7}$