Question

There are tea and coffee bags for the crew. The fraction of tea bags is $\frac{75}{30}\times \frac{1}{5}$ of the total bags and the fraction of coffee bags is $\frac{15}{3}\times \frac{1}{10}$ of the total bags. Which bags are more?

• A. $\frac{15}{3}\times \frac{1}{10}$
• B. Cannot be determined
• C. $\frac{75}{81}\times \frac{1}{5}$
• D. Both fractions are equal

Answer 1

The correct option is D Both fractions are equal

When comparing unlike fractions, we convert the unlike fractions to like fractions and then compare the numerators.

Fraction of tea bags:
$\frac{75}{30}\times \frac{1}{5}$ is equivalent to $\frac{75}{150}$.

Fraction of coffee bags:
$\frac{15}{3}\times \frac{1}{10}$ is equivalent to $\frac{15}{30}=\frac{15\times 5}{30\times 5}=\frac{75}{150}$.

Hence, both fractions are equal.