Question

1. solve the word problem. the office coffee pot started out having 9 1/2 quarts of coffee. at the end of the day, there were 4 4/5 quarts left. how many quarts of coffee were consumed during the day? 4 7/10 quarts 5 7/10 quarts 14 3/10 quarts 4 3/10 quarts

Explanation:

Step1: Convert mixed - numbers to improper fractions

$9\frac{1}{2}=\frac{9\times2 + 1}{2}=\frac{19}{2}$ and $4\frac{4}{5}=\frac{4\times5+4}{5}=\frac{24}{5}$

Step2: Find a common denominator

The common denominator of 2 and 5 is 10. So $\frac{19}{2}=\frac{19\times5}{2\times5}=\frac{95}{10}$ and $\frac{24}{5}=\frac{24\times2}{5\times2}=\frac{48}{10}$

Step3: Subtract the fractions

$\frac{95}{10}-\frac{48}{10}=\frac{95 - 48}{10}=\frac{47}{10}=4\frac{7}{10}$

Answer:

$4\frac{7}{10}$ quarts