Question

The product of two fractions is $5\frac{3}{4}.$ If one of the fractions is $\frac{11}{4}$, then find the other fraction.

• A. $3\frac{2}{11}$
• B. $1\frac{4}{11}$
• C. $2\frac{1}{11}$
• D. $\frac{11}{23}$

Answer 1

The correct option is C

$2\frac{1}{11}$

Given, the product of two fractions is $5\frac{3}{4}$ and one of the fractions is $\frac{11}{4}.$

Let the second fraction be $\frac{p}{q}$.

$\Rightarrow \frac{11}{4}\times \frac{p}{q}=5\frac{3}{4}$

$\Rightarrow \frac{p}{q}=5\frac{3}{4}÷\frac{11}{4}$

$=\frac{23}{4}÷\frac{11}{4}$

$=\frac{23}{4}\times \frac{4}{11}$ (by taking reciprocal of $\frac{11}{4}$)

$=\frac{23}{11}=2\frac{1}{11}$

$\therefore$ The required fraction is $2\frac{1}{11}$.