How do you simplify  10 div 1/2?

Aug 10, 2016

$10 \div \frac{1}{2} = 20$

Compare with $10 \div 2 = 5$

Explanation:

$10 \div \frac{1}{2}$ is easily confused with $10 \div 2$

$10 \div \frac{1}{2}$ asks " how many halves can I get from 10?"

If you have 10 pizzas and each is cut into two halves, there will be 20 halves altogether.

$10 \div 2$ asks " how many groups of 2 can I make from 10?"
There will be 5 groups of 2. $\text{ } \left(2 + 2 + 2 + 2 + 2 = 10\right)$

To divide by a fraction, multiply by its reciprocal.

$10 \div \frac{1}{2} = 10 \times \frac{2}{1} = 20$