Question

Find two mixed numbers or fractions that have a quotient of 3 1/5.

Answer 1

Answer:

The two fractions could be $\frac{32}{10}$ and $\frac{48}{15}$.

Step-by-step explanation:

The fractions given and required are called equivalent fractions.

Given $3\frac{1}{5}$ , and we can express it as  $\frac{16}{5}$ when converted to an improper fraction.

i.e                $3\frac{1}{5}$ =   $\frac{16}{5}$

The two mixed numbers that would have a quotient of $3\frac{1}{5}$ can be determined by multiplying both the denominator and numerator by the same number.

If we multiply the numerator and denominator of  $\frac{16}{5}$ by 2, we have $\frac{32}{10}$ which has the same quotient as the initial fraction.

Also, multiplying  the numerator and denominator of  $\frac{16}{5}$ by 3 would give $\frac{48}{15}$; which has the same quotient as the given fraction.

The required fractions are:  $\frac{32}{10}$ and $\frac{48}{15}$.

Answer 2

Five and one-fourth divided by one and one-half is equal to three and one-fifth.