Question

$2\frac{3}{4}÷3\frac{4}{5}=$

• A. $\frac{209}{20}$
• B. $\frac{55}{76}$
• C. $\frac{44}{95}$

Answer 1

The correct option is B $\frac{55}{76}$

Given : $2\frac{3}{4}÷3\frac{4}{5}$

Convert the mixed fractions into improper fractions
$2\frac{3}{4}=\frac{2\times 4+3}{4}=\frac{11}{4}$

$3\frac{4}{5}=\frac{3\times 5+4}{5}=\frac{19}{5}$

We need to solve $\frac{11}{4}÷\frac{19}{5}$

Flip the second fraction and then multiply the flipped second fraction by first fraction.

$\frac{11}{4}÷\frac{19}{5}=\frac{11}{4}\times \frac{5}{19}=\frac{55}{76}$

There is no common factor between numerator and denominator of the resulting fraction.

$\therefore 2\frac{3}{4}÷3\frac{4}{5}=\frac{55}{76}$