Question

Please Help! In dire need~!

Describe how to use area models to find the quotient 2/3 divided by 1/5.
Check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.

Answer 1

Answer: The solution is
`3(1)/(3)`

Explanation:

since we have given that

`(2)/(3)/ (1)/(5)`

we need to solve it using area models:

As we know that "In fractions, division is changed into multiplication by reciprocating the next term to make it possible to solve":

So, It turns into model of area "Area of rectangle "

`Area=Length* Breadth\\\\Area=(2)/(3)* (5)/(1)\\\\Area=(10)/(3)=3(1)/(3)`

Now, verifying by using numerical operations only.

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

Hence, verified.