Question

perform the indicated operation.
1\frac{3}{4} \div 3\frac{1}{5}
the answer is
(simplify your answer. type an integer, proper fraction, or mixed)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$ and $3\frac{1}{5}=\frac{5\times3+1}{5}=\frac{16}{5}$

Step2: Rewrite division as multiplication by reciprocal

$\frac{7}{4}\div\frac{16}{5}=\frac{7}{4}\times\frac{5}{16}$

Step3: Multiply the numerators and denominators

$\frac{7\times5}{4\times16}=\frac{35}{64}$

Answer:

$\frac{35}{64}$