Answer:
2 2/5
Step-by-step explanation:
The quotient means the answer to a division problem.
[tex]\frac{3}{4} / \frac{5}{16}[/tex]
Flip the second fraction's top and bottom. This becomes a multiplication problem.
[tex]=\frac{3}{4} * \frac{16}{5}[/tex] Multiply the two numerators, multiply the two denominators
[tex]=\frac{3*16}{4*5}[/tex] Simplify
[tex]=\frac{48}{20}[/tex] Reduce this fraction. Top and bottom are divisible by 4.
[tex]=\frac{12}{5}[/tex] This is an improper fraction (top number is greater than bottom)
12/5 is not an option, so we can change it to a mixed fraction, which we take out a whole number (written bigger beside the fraction).
One whole number is worth "5" in the numerator.
[tex]\frac{12}{5}[/tex]
[tex]=\frac{5+5+2}{5}[/tex] Separate the numerator to find how many wholes there are
[tex]=2\frac{2}{5}[/tex] There were two "5"s, so two wholes. It leaves 2 in the numerator.
