Question

the penguins at the zoo eat 2 3/4 pounds of fish each day. the zookeeper bought 8 1/4 pounds of fish. how many days will the fish last? write your answer as a fraction or as a whole or mixed number. days

Explanation:

Step1: Convert mixed - numbers to improper fractions

$2\frac{3}{4}=\frac{2\times4 + 3}{4}=\frac{11}{4}$ and $8\frac{1}{4}=\frac{8\times4+1}{4}=\frac{33}{4}$

Step2: Divide total fish by daily consumption

$\frac{33}{4}\div\frac{11}{4}=\frac{33}{4}\times\frac{4}{11}$

Step3: Simplify the fraction

$\frac{33\times4}{4\times11}=\frac{33}{11} = 3$

Answer:

3