Question

State if the below inequality is true or false

$2\frac{1}{2}:3\frac{1}{3}>3.5:4.5$

• A. True
• B. False

Answer 1

The correct option is B False

Converting the given ratios into fractions we get,

$2\frac{1}{2}:3\frac{1}{3}=\frac{2\frac{1}{2}}{3\frac{1}{3}}=\frac{\frac{5}{2}}{\frac{10}{3}}=\frac{3}{4}$

$3.5:4.5=\frac{\frac{7}{2}}{\frac{9}{2}}=\frac{7}{9}$
LCM of $4,9=36$
Converting the fractions in like fractions with denominator $36$, we get
$\frac{3}{4}=\frac{3\times 9}{4\times 9}=\frac{27}{36}$

$\frac{7}{9}=\frac{7\times 4}{9\times 4}=\frac{28}{36}$
Comparing these fractions, $\frac{28}{36}>\frac{27}{36}$
Hence, $3.5:4.5$ is greater.