Question

1. greg has 2\frac{1}{2} hours to shop and watch a movie at the mall. how much time will he have to shop if the movie lasts 1\frac{1}{5} hours?

\frac{4}{5} hours
\frac{1}{3} hours
1\frac{1}{10} hours
1\frac{3}{10} hours

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{1}{2}=\frac{2\times2 + 1}{2}=\frac{5}{2}$ and $1\frac{1}{5}=\frac{1\times5+1}{5}=\frac{6}{5}$

Step2: Subtract the time for the movie from the total time

We need to find $\frac{5}{2}-\frac{6}{5}$. First, find a common denominator, which is $2\times5 = 10$. Then $\frac{5}{2}=\frac{5\times5}{2\times5}=\frac{25}{10}$ and $\frac{6}{5}=\frac{6\times2}{5\times2}=\frac{12}{10}$. So $\frac{25}{10}-\frac{12}{10}=\frac{25 - 12}{10}=\frac{13}{10}=1\frac{3}{10}$

Answer:

$1\frac{3}{10}$ hours