Question

1\frac{1}{4}\div\frac{13}{3}=1\frac{1}{4}\div\frac{13}{3}=\frac{4}{1}\times\frac{13}{3}=\frac{?}{?}

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$ and $1\frac{1}{3}=\frac{3\times1+1}{3}=\frac{4}{3}$

Step2: Rewrite the division as multiplication

$\frac{7}{4}\div\frac{4}{3}=\frac{7}{4}\times\frac{3}{4}=\frac{21}{16}$

Step3: Calculate the second multiplication

$\frac{13}{3}\times\frac{1}{4}=\frac{13}{12}$

Step4: Find the ratio

We want to find $\frac{\frac{21}{16}}{\frac{13}{12}}$. Using the rule $\frac{a}{b}\div\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}$, we have $\frac{21}{16}\times\frac{12}{13}=\frac{21\times12}{16\times13}=\frac{252}{208}=\frac{63}{52}$

Answer:

$\frac{63}{52}$