Question

dividing by a fraction is the same as multiplying by the fraction’s reciprocal. this means you can rewrite division as multiplication by the reciprocal.
$8\div\frac{1}{2}=?$
the fraction $\frac{1}{2}$ goes into 8 exactly 16 times.
$8\div\frac{1}{2}=16$
$8\div\frac{1}{2}=8\times\frac{2}{1}=16$ halves
divide: $5\div\frac{1}{2}=?$
$5\div\frac{1}{2}$ is like the question,
“how many times does $\frac{1}{2}$ fit into 5?”
i can multiply 5 by the reciprocal of $\frac{1}{2}$.
$5\div\frac{1}{2}=5\times\frac{2}{1}=5\times2=10$
divide: $7\div\frac{1}{3}=?$

Explanation:

Step1: Recall the rule for dividing by a fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of $\frac{1}{3}$ is $\frac{3}{1}$.
So, we rewrite the division $7\div\frac{1}{3}$ as multiplication: $7\times\frac{3}{1}$.

Step2: Perform the multiplication

Multiply 7 by 3 (since $\frac{3}{1}=3$). So, $7\times3 = 21$.

Answer:

21