Question

Steve visits two out of his five restaurants daily. Which of the following is an equivalent fraction of $\frac{2}{5}$ ?

• A. $\frac{14}{35}$
• B. $\frac{35}{14}$
• C. $\frac{8}{5}$
• D. $\frac{2}{10}$

Answer 1

The correct option is A $\frac{14}{35}$

The number of restaurants Steve visits in a day $=2$
Total number of restaurants he can visit in a day $=5$

Fraction representing Steve’s daily visits to his restaurants $=\frac{2}{5}$

Observe that $\frac{2}{5}$ cannot be converted into either of the options $A,B,$ or $C$ by multiplying its numerator and denominator by any number.

However, if we multiply the numerator and the denominator of the fraction $\frac{2}{5}$ by, $7$, we get $\frac{14}{35}$.

$=\frac{2\times 7}{5\times 7}=\frac{14}{35}$

Hence, the equivalent fraction of $\frac{2}{5}$ for a week is $\frac{14}{35}$.