Question

The product of two numbers is $\frac{3}{4}$ . If one number is $1\frac{1}{4}$ , find the other.

Answer 1

Given: the product of two numbers is $=\frac{3}{4}$.

Given number is $=1\frac{1}{4}$ $=\frac{(1\times 4)+1}{4}$$=\frac{5}{4}$

Let another number be $x$.

$x\times \frac{5}{4}=\frac{3}{4}$

$x=\frac{3}{4}÷\frac{5}{4}$

$x=\frac{3}{4}$ $\times$$\frac{4}{5}$

$x=\frac{3\times 4}{4\times 5}$

$x=\frac{12}{20}$

Reduce the fraction $\frac{12}{20}$ into its lowest terms, dividing the numerator and denominator by the greatest common factor $4$.

$=\frac{12÷4}{20÷4}$

$=\frac{3}{5}$

Hence, the other number is $\frac{3}{5}$.