Question

Ethan, Henry, and Daniel each had $\frac{3}{13}$, $\frac{3}{10}$, and $\frac{3}{5}$ chocolate pies. Who among the three ate the most chocolate pie?

• A. Ethan
• B. Henry
• C. Daniel
• D. All ate equally.

Answer 1

The correct option is C Daniel

$\underset{–}{ConceptInvolved}$:
We know that, 13 > 10 > 5
Inequality gets reversed on taking the reciprocal of the numbers.

$\underset{–}{Method}$:
Since 13 > 10 > 5
On taking reciprocal, sign of inequality would get reversed.
$\frac{1}{5}>\frac{1}{10}>\frac{1}{13}$
Multiplying by '3', a positive number wouldn't change the sign of inequality.
$\frac{3}{5}>\frac{3}{10}>\frac{3}{13}$
Daniel ate $\frac{3}{5}$ of the chocolate pie and is maximum among the three fractions.

Therefore, Daniel ate more chocolate pie among the three.