Question

use the drop - down menus to select answers. use the fraction bars and the expression provided to answer the questions. 3÷\frac{2}{5}. how many \frac{1}{5} bars should you circle in each group? are there any \frac{1}{5} bars left over? what is the quotient?

Explanation:

Step1: Recall division - fraction rule

Dividing by a fraction is equivalent to multiplying by its reciprocal. So $3\div\frac{2}{5}=3\times\frac{5}{2}$.

Step2: Calculate the product

$3\times\frac{5}{2}=\frac{15}{2} = 7\frac{1}{2}$.
The fraction $\frac{2}{5}$ is made up of 2 of the $\frac{1}{5}$ - bars.
To find out how many $\frac{1}{5}$ - bars are in $\frac{2}{5}$, it's 2.
For the division $3\div\frac{2}{5}$, we are essentially seeing how many groups of 2 $\frac{1}{5}$ - bars are in 3 (which is equivalent to $\frac{15}{5}$ $\frac{1}{5}$ - bars).
$\frac{15}{5}\div\frac{2}{5}=\frac{15}{5}\times\frac{5}{2}=\frac{15}{2}=7\frac{1}{2}$.
We can make 7 full - groups of 2 $\frac{1}{5}$ - bars, and 1 $\frac{1}{5}$ - bar is left over.

• How many $\frac{1}{5}$ bars should you circle in each group: 2
• Are there any $\frac{1}{5}$ bars left over: Yes
• What is the quotient: $7\frac{1}{2}$

Answer:

How many $\frac{1}{5}$ bars should you circle in each group: 2
Are there any $\frac{1}{5}$ bars left over: Yes
What is the quotient: $7\frac{1}{2}$