Question

(\frac{13}{3}div1\frac{1}{4}=\frac{13}{3}\times\frac{4}{1}=4\frac{1}{3}div1\frac{1}{4}=\frac{?}{?})

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$, $4\frac{1}{3}=\frac{3\times4+1}{3}=\frac{13}{3}$

Step2: Calculate $\frac{13}{3}\div1\frac{1}{4}$

$\frac{13}{3}\div\frac{5}{4}=\frac{13}{3}\times\frac{4}{5}=\frac{52}{15}$

Step3: Calculate $\frac{13}{3}\times4\frac{1}{3}$

$\frac{13}{3}\times\frac{13}{3}=\frac{169}{9}$

Step4: Calculate $\frac{1\frac{1}{4}}{4\frac{1}{3}}$

$\frac{\frac{5}{4}}{\frac{13}{3}}=\frac{5}{4}\times\frac{3}{13}=\frac{15}{52}$

Answer:

$\frac{52}{15},\frac{169}{9},\frac{15}{52}$