Question

Choose the correct option.

Fraction $1:2\frac{1}{4}$
Fraction $2:1\frac{2}{5}\times$ Fraction $1$
Fraction $3:3\frac{1}{5}\times$ Fraction $1$

• A. Fraction 2 is lesser than Fraction 3.
• B. Fraction 2 is greater than Fraction 3.

Answer 1

The correct option is A Fraction 2 is lesser than Fraction 3.

$Fraction1=2\frac{1}{4}=\frac{9}{4}$
$Fraction2=1\frac{2}{5}\times 2\frac{1}{4}=\frac{7}{5}\times \frac{9}{4}=\frac{63}{20}$
$Fraction3=3\frac{1}{5}\times 2\frac{1}{4}=\frac{16}{5}\times \frac{9}{4}=\frac{144}{20}$
Both fractions are like fractions. Comparing the two,

$\frac{144}{20}>\frac{63}{20}$
Therefore, we can conclude that Fraction $2$ is lesser than Fraction $3$.