Question

Find the quotient. 3 WN 4. 3 25 5 2 4 3- + 3 3 5 . (Type a whole number, fraction, or mixed number.)

Answer 1

The quotient of the given expression is;

`3(2)/(3)/3(4)/(5)=(55)/(57)`

Step-by-step explanation:

Given the expression;

`3(2)/(3)/3(4)/(5)`

To solve, let us convert the mixed fraction to improper fraction.

`\begin{gathered} 3(2)/(3)/3(4)/(5) \\ (3(3)+2)/(3)/(5(3)+4)/(5) \\ (11)/(3)/(19)/(5) \end{gathered}`

Then we can now divide the fractions to get the quotient;

`\begin{gathered} (11)/(3)/(19)/(5) \\ (11)/(3)*(5)/(19) \\ (11*5)/(3*19) \\ =(55)/(57) \end{gathered}`

Therefore, the quotient of the given expression is;

`3(2)/(3)/3(4)/(5)=(55)/(57)`