Question

the dolphins at the jackson aquarium are fed 4 1/3 buckets of fish each day. the sea otters are fed 1 7/10 times as much fish as the dolphins. how many buckets of fish are the sea otters fed each day? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{1}{3}=\frac{4\times3 + 1}{3}=\frac{13}{3}$ and $1\frac{7}{10}=\frac{1\times10+7}{10}=\frac{17}{10}$

Step2: Multiply the two fractions

$\frac{13}{3}\times\frac{17}{10}=\frac{13\times17}{3\times10}=\frac{221}{30}$

Step3: Convert the improper fraction to a mixed - number

$221\div30 = 7$ with a remainder of $11$, so $\frac{221}{30}=7\frac{11}{30}$

Answer:

$7\frac{11}{30}$