Question

Evaluate the expression and put your answer in fraction form.

Answer 1

Answer:

$46\frac{2}{3}$

Step-by-step explanation:

Simplify inside the parentheses:

$(\frac{1}{3}+9)$  this one first

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

$9\frac{1}{3}$

Simplify the mixed fraction by using the rule: $a\frac{b}{c}=\frac{ac+b}{c}$

$9\frac{1}{3}=\frac{9*3+1}{3}\\\\\frac{28}{3}$

Keep this $(\frac{28}{3})$

$(8-3)$

Simplify

$(5)$

Put together:

$(\frac{28}{3})*(5)$

Simplify parentheses

$\frac{28}{3}*5$

Simplify

$\frac{28}{3} *\frac{5}{1}\\ \\\frac{28*5}{3} \\\\\frac{140}{3}$

Convert to mixed fraction:

$46\frac{2}{3}$

Done.

Answer 2

Answer:

$( \frac{1}{3} + 9) \times (8 - 3) \\ (\frac{1}{3} + \frac{9}{1} ) \times 5 \\ ( \frac{1}{3} + \frac{27}{3} ) \times 5 \\ \frac{28}{3} \times 5 \\ = \frac{140}{3} \\ = 46 \frac{2}{3}$

hope this helps you