Answer:
The answer is
![(15)/(16)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/50e07bnpy3ckvi17ooxr06yjlpq4fzydif.png)
Explanation:
![2 (1)/(2) / 2 (2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/5h2qmkv1os8m3u5cc5e03mysb0tyk57qnb.png)
To solve the expression convert the mixed number to an improper fraction
That's
![2 (1)/(2) = (5)/(2)](https://img.qammunity.org/2021/formulas/mathematics/high-school/tnsp5gjk35yo0j4z1zxebt8437nbgt2thx.png)
![2 (2)/(3) = (8)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/c4xxjd7hjs42f0d5w4hmf8s3zmjowe5nkd.png)
So we now have
![(5)/(2) / (8)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/cvmht754ul3x5fppd9t6jl24dfk2gq6gnc.png)
To solve this change the division sign to multiplication sign and reverse the second fraction
That's
![(5)/(2) * (3)/(8)](https://img.qammunity.org/2021/formulas/mathematics/high-school/y794x8m5fgjkik8afhw1chr039s49hk31s.png)
Multiply
We have the final answer as
![(15)/(16)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/50e07bnpy3ckvi17ooxr06yjlpq4fzydif.png)
Hope this helps you