Answer:
Solving the expression:
we get ![\mathbf{3\frac{9}{10}}](https://tex.z-dn.net/?f=%5Cmathbf%7B3%5Cfrac%7B9%7D%7B10%7D%7D)
Option A is correct.
Step-by-step explanation:
We need to solve the expression: ![2\frac{3}{5}\div \frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B5%7D%5Cdiv%20%5Cfrac%7B2%7D%7B3%7D)
We need to divide both the terms.
Solving:
![2\frac{3}{5}\div \frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B3%7D%7B5%7D%5Cdiv%20%5Cfrac%7B2%7D%7B3%7D)
First we will convert the mixed fraction into improper one
![\frac{13}{5}\div \frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B5%7D%5Cdiv%20%5Cfrac%7B2%7D%7B3%7D)
Now, we will convert division sign into multiplication, the term 2/3 is reciprocated
![\frac{13}{5}\times \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B5%7D%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
Now, multiply numerator with numerator and denominator with denominator
![\frac{39}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B10%7D)
Now, we will convert into mixed fraction
![3\frac{9}{10}](https://tex.z-dn.net/?f=3%5Cfrac%7B9%7D%7B10%7D)
So, Solving the expression:
we get ![\mathbf{3\frac{9}{10}}](https://tex.z-dn.net/?f=%5Cmathbf%7B3%5Cfrac%7B9%7D%7B10%7D%7D)
Option A is correct.