Question

David, Sam, and Mary ate $\frac{5}{11}$, $\frac{5}{12},$ and $\frac{5}{13}$ of 3 similar pizzas, respectively. Who ate more?

• A. David
• B. Sam
• C. Mary
• D. Insufficient data

Answer 1

The correct option is A David

$\underset{–}{ConceptInvolved}$:
When fractions have the same numerator, then the largest fraction is the one with the smallest denominator

$\underset{–}{Method}$:
Since, each fraction has the same numerator,
$\text{Denominars}\to 11<12<13$

Hence,$\frac{5}{11}>\frac{5}{12}>\frac{5}{13}$

David ate $\frac{5}{11}$ of the Pizza and is maximum among the three fractions.
Therefore, David ate more Pizza pie among the three.