Question

Simply the expression (mixed numbers)
`5( (3)/(2) ) * 5( (1)/(2) )`

Answer 1

`5(3)/(2)*5(1)/(2)`

To simplify:

1. Write each mixed number as a improper fraction:

`\begin{gathered} 5(3)/(2)=5+(3)/(2)=(10)/(2)+(3)/(2)=(13)/(2) \\ \\ \\ 5(1)/(2)=5+(1)/(2)=(10)/(2)+(1)/(2)=(11)/(2) \end{gathered}`

2. Multiply fractions:

`\begin{gathered} (a)/(b)*(c)/(d)=(a* c)/(b* d) \\ \\ \\ (13)/(2)*(11)/(2)=(13*11)/(2*2)=(143)/(4) \end{gathered}`

3. Rewrite the product as a mixed number:

Then, the given expression simplified is:

`5(3)/(2)*5(1)/(2)=35(3)/(4)`