Question

Nancy reduced some fractions to their simplest forms and found that one of the fractions was reduced to $2\frac{7}{13}$. Which fraction was reduced to $2\frac{7}{13}$?

• A. $2\frac{28}{52}$
• B. $3\frac{28}{52}$
• C. $2\frac{28}{48}$
• D. $3\frac{28}{48}$

Answer 1

The correct option is A $2\frac{28}{52}$

Let's try to reduce each option:
a) $2\frac{28}{52}=2\frac{7\times 4}{13\times 4}=2\frac{7}{13}$
b) $3\frac{28}{52}=3\frac{7\times 4}{13\times 4}=3\frac{7}{13}$
c) $2\frac{28}{48}=2\frac{7\times 4}{12\times 4}=2\frac{7}{12}$
d) $3\frac{28}{48}=3\frac{7\times 4}{12\times 4}=3\frac{7}{12}$
Therefore, a is the correct answer.