Question

every day, the butler pet store uses 4 3/4 bags of dog food to feed the dogs. how many days will 9 1/2 bags of dog food last? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{3}{4}=\frac{4\times4 + 3}{4}=\frac{19}{4}$ and $9\frac{1}{2}=\frac{9\times2+1}{2}=\frac{19}{2}$

Step2: Divide the total amount of dog food by the daily amount

The number of days $d=\frac{\frac{19}{2}}{\frac{19}{4}}$. When dividing by a fraction, we multiply by its reciprocal, so $d=\frac{19}{2}\times\frac{4}{19}$

Step3: Simplify the fraction

$\frac{19\times4}{2\times19}=\frac{4}{2} = 2$

Answer:

2