Answer:
[tex]46\frac{2}{3}[/tex]
Step-by-step explanation:
Simplify inside the parentheses:
[tex](\frac{1}{3}+9)[/tex] this one first
This can be simplified simply by adding the whole number to join as a mixed fraction:
[tex]9\frac{1}{3}[/tex]
Simplify the mixed fraction by using the rule: [tex]a\frac{b}{c}=\frac{ac+b}{c}[/tex]
[tex]9\frac{1}{3}=\frac{9*3+1}{3}\\\\\frac{28}{3}[/tex]
Keep this [tex](\frac{28}{3})[/tex]
[tex](8-3)[/tex]
Simplify
[tex](5)[/tex]
Put together:
[tex](\frac{28}{3})*(5)[/tex]
Simplify parentheses
[tex]\frac{28}{3}*5[/tex]
Simplify
[tex]\frac{28}{3} *\frac{5}{1}\\ \\\frac{28*5}{3} \\\\\frac{140}{3}[/tex]
Convert to mixed fraction:
[tex]46\frac{2}{3}[/tex]
Done.
