Question

Divide using models then check your work using reciprocals 3/10 ÷ 1/5

Answer 1

3/2

Step-by-step explanation:

To divide the fractions using models, we will use the following:

Now, we need to count how many green rectangles are in the red zone. So, we can see that there are 1 complete rectangle and a half, then the answer of the division is:

`(3)/(10)/(1)/(5)​=1(1)/(2)=1+(1)/(2)=(3)/(2)`

On the other hand, we can divide the fractions using the reciprocal as:

`(3)/(10)/(1)/(5)=(3)/(10)*(5)/(1)=(3*5)/(10*1)=(15)/(10)=(3)/(2)`

So, the answer is 3/2