Question

Mia hopes to visit all $26$ states of Brazil. So far, she has visited $\frac{4}{13}$ of the states.
How many states has Mia visited?

• A. $4$
• B. $13$
• C. $8$
• D. $26$

Answer 1

The correct option is C $8$

Mia has visited $\frac{4}{13}$ of the states.

There are 26 states in all. To find the number of states Mia visited, we have to rewrite the $\frac{4}{13}$ into its equivalent fraction where denominator should be 26

$\frac{4}{13}=\frac{?}{26}$

$\because 13\times 2=26$, multiply both the numerator and the denominator of $\frac{4}{13}$ by 2.
$\therefore \frac{4}{13}=\frac{4\times 2}{13\times 2}=\frac{8}{26}$

The fraction $\frac{8}{26}$ tells us that Mia has visited 8 of the 26 states.