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 $3\frac{1}{3}$

Step-by-step explanation:

since we have given that

$\frac{2}{3}\div \frac{1}{5}$

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 "

$Area=Length\times Breadth\\\\Area=\frac{2}{3}\times \frac{5}{1}\\\\Area=\frac{10}{3}=3\frac{1}{3}$

Now, verifying by using numerical operations only.

$\frac{\frac{2}{3}}{\frac{1}{5}}\\\\=\frac{2\times 5}{3\times 1}\\\\=\frac{10}{3}\\\\=3\frac{1}{3}$

Hence, verified.