Question

Ashin drives to work in $\frac{5}{6}$ of an hour, whereas Billy takes $\frac{1}{3}$ of an hour. How much longer did Ashin have to drive?

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $\frac{3}{5}$
• D. $\frac{3}{4}$

Answer 1

The correct option is B $\frac{1}{2}$

Find how much longer Ashin's drive is by subtracting $\frac{1}{3}$ from $\frac{5}{6}$.
You can use 6 as the common denominator.
Multiply the numerator and the denominator of
$\frac{1}{3}$
by 2 to find an equivalent fraction.
$\frac{1\times 2}{3\times 2}=\frac{2}{6}$
Now subtract the fractions. Subtract the numerators and keep the denominators the same.
$\frac{5}{6}-\frac{2}{6}=\frac{3}{6}$
Write the answer in simplest form. Divide both the numerator and the denominator by 3.
$\frac{3÷3}{6÷3}=\frac{1}{2}$
Now write the answer.
$\frac{5}{6}-\frac{1}{3}=\frac{1}{2}$
Ashin’s drive is $\frac{1}{2}$ of an hour longer than Billy's.