Parentheses

Insert parentheses into the expression 2/3 times 5/6 + 3/4 divided by 3/5 so that

a. The first operation to be performed is addition and
b. The first operation to be performed is division.

In both cases, evaluate and write results.

Correct answer:

a =  95/54 = 1 ⁴¹⁄₅₄
b =  25/18 = 1 ⁷⁄₁₈

Step-by-step explanation:

$a=\frac{2}{3}\cdot (\frac{5}{6}+\frac{3}{4})/\frac{3}{5}=\frac{95}{54}=1\frac{41}{54}=1.7593$

$b=\frac{2}{3}\cdot (\frac{5}{6}+\frac{3}{4}/\frac{3}{5})=\frac{25}{18}=1\frac{7}{18}=1.3889$

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