Question

Solve the following question show your work

Answer 1

iven :

`7(1)/(5)*4(5)/(6)`

To solve,

step 1: Convert the mixed fractions into improper fractions.

`\begin{gathered} Given\text{ an improper fraction of the form: a}(b)/(c),\text{ to convert to an } \\ improper\text{ fraction, we have} \\ ((c* a)+b)/(c) \\ \end{gathered}`

Thus,

`\begin{gathered} 7(1)/(5)=((7*5)+1)/(5)=(35+1)/(5)=(36)/(5) \\ 4(5)/(6)=((4*6)+5)/(6)=(24+5)/(6)=(29)/(6) \end{gathered}`

step 2: Perform the operation of multiplication between both fractions.

Thus,

`\begin{gathered} (36)/(5)*(29)/(6)=(36*29)/(5*6) \\ cancel\text{ out common factor,} \\ =(6*29)/(5) \\ =(174)/(5) \end{gathered}`

step 3: Convert the resulting improper fraction into a mixed fraction.

Thus,

`(174)/(5)=34+(4)/(5)`

Hence, the solution is

`34(4)/(5)`