Answer:
The two fractions could be [tex]\frac{32}{10}[/tex] and [tex]\frac{48}{15}[/tex].
Step-by-step explanation:
The fractions given and required are called equivalent fractions.
Given [tex]3\frac{1}{5}[/tex] , and we can express it as [tex]\frac{16}{5}[/tex] when converted to an improper fraction.
i.e [tex]3\frac{1}{5}[/tex] = [tex]\frac{16}{5}[/tex]
The two mixed numbers that would have a quotient of [tex]3\frac{1}{5}[/tex] can be determined by multiplying both the denominator and numerator by the same number.
If we multiply the numerator and denominator of [tex]\frac{16}{5}[/tex] by 2, we have [tex]\frac{32}{10}[/tex] which has the same quotient as the initial fraction.
Also, multiplying the numerator and denominator of [tex]\frac{16}{5}[/tex] by 3 would give [tex]\frac{48}{15}[/tex]; which has the same quotient as the given fraction.
The required fractions are: [tex]\frac{32}{10}[/tex] and [tex]\frac{48}{15}[/tex].
