Question

Evaluate the expression and put your answer in fraction form.

Answer 1

`46(2)/(3)`

Explanation:

Simplify inside the parentheses:

`((1)/(3)+9)` this one first

This can be simplified simply by adding the whole number to join as a mixed fraction:

`9(1)/(3)`

Simplify the mixed fraction by using the rule:
`a(b)/(c)=(ac+b)/(c)`

`9(1)/(3)=(9*3+1)/(3)\\\\(28)/(3)`

Keep this
`((28)/(3))`

`(8-3)`

Simplify

`(5)`

Put together:

`((28)/(3))*(5)`

Simplify parentheses

`(28)/(3)*5`

Simplify

`(28)/(3) *(5)/(1)\\ \\(28*5)/(3) \\\\(140)/(3)`

Convert to mixed fraction:

`46(2)/(3)`

Done.

Answer 2

`( (1)/(3) + 9) * (8 - 3) \\ ((1)/(3) + (9)/(1) ) * 5 \\ ( (1)/(3) + (27)/(3) ) * 5 \\ (28)/(3) * 5 \\ = (140)/(3) \\ = 46 (2)/(3)`

hope this helps you