Question

a cafeteria sold 9 1/2 gallons of soda during lunchtime. 7 1/6 gallons were regular soda, and the rest was diet soda. how many gallons of diet soda were sold? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$9\frac{1}{2}=\frac{9\times2 + 1}{2}=\frac{19}{2}$ and $7\frac{1}{6}=\frac{7\times6+1}{6}=\frac{43}{6}$

Step2: Find a common denominator

The common denominator of 2 and 6 is 6. So, $\frac{19}{2}=\frac{19\times3}{2\times3}=\frac{57}{6}$

Step3: Subtract the amount of regular soda from total soda

$\frac{57}{6}-\frac{43}{6}=\frac{57 - 43}{6}=\frac{14}{6}=\frac{7}{3}=2\frac{1}{3}$

Answer:

$2\frac{1}{3}$