Parentheses in advanced Order of Operations: Using fractions

Question 1

$$ (85+5):10= $$

Question 2

$2\cdot(3+\frac{1}{2}\cdot8)=$

Question 3

$\frac{1}{4}\cdot\big(\frac{1}{3}+\frac{1}{2}\big)=$

Question 4

$5\cdot\big(2\frac{1}{2}+1\frac{1}{6}+\frac{3}{4}\big)=$

Question 5

$(\frac{1}{4}+\frac{7}{4}-\frac{5}{4}-\frac{1}{4})\cdot10:7:5=\text{?}$

Examples with solutions for Parentheses in advanced Order of Operations: Using fractions

$(85+5):10=$

According to the order of operations rules, we must first solve the expression within the parentheses:

$85+5=90$

We should obtain the following expression:

$90:10=9$

$2\cdot(3+\frac{1}{2}\cdot8)=$

$14$

$\frac{1}{4}\cdot\big(\frac{1}{3}+\frac{1}{2}\big)=$

5/24

$5\cdot\big(2\frac{1}{2}+1\frac{1}{6}+\frac{3}{4}\big)=$

$22\frac{1}{12}$

$(\frac{1}{4}+\frac{7}{4}-\frac{5}{4}-\frac{1}{4})\cdot10:7:5=\text{?}$

$\frac{1}{7}$