Answer:
The quotient in simplest form 3/4÷5/16
is [tex]2\frac{2}{5}[/tex]
Solution:
We have to find the quotient in the simplest form for the division of two fractions.
Given expression is [tex]\frac{3}{4} \div \frac{5}{16}[/tex]
If we invert one of the fractions the division sign between them will become multiplication, which makes the calculation easier.
This can be written as
[tex]=\frac{3}{4} \times \frac{16}{5}[/tex]
On simplifying the equation we get
[tex]=\frac{3 \times 4}{5}=\frac{12}{5}[/tex]
Since the answer is in an improper fraction, we need to change it into the mixed fraction form.
Which will become: [tex]=2 \frac{2}{5}[/tex]
Therefore, the option c is the correct answer.
