The quotient of the division operation is [tex]\frac{5}{9}[/tex]
Division operation
From the question, we are to find the quotient of the division operation
The given division operation is
[tex]\frac{2}{3} \div \frac{6}{5}[/tex]
1. The divided is [tex]\frac{2}{3}[/tex]
2. The divisor is [tex]\frac{6}{5}[/tex]
3. The reciprocal of the divisor is [tex]\frac{5}{6}[/tex]
4. The equivalent multiplication of the division problem is
[tex]\frac{2}{3} \times \frac{5}{6}[/tex]
5. The multiplication gives
[tex]\frac{2}{3} \times \frac{5}{6}=\frac{10}{18}[/tex]
6. Simplifying the quotient, we get
[tex]\frac{10}{18}=\frac{5}{9}[/tex]
Hence, the quotient of the division operation is [tex]\frac{5}{9}[/tex]
Learn more on Division operation here: https://brainly.com/question/17038342
#SPJ1
