What is (2\div 2/3)-(2/3 \div 2) ?

The solution to (2\div 2/3)-(2/3 \div 2) is 2 2/3

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(2\div 2/3)-(2/3 \div 2)

(2 \div \frac{2}{3}) - (\frac{2}{3} \div 2)

2 \frac{2}{3}

Solution steps

(2 \div \frac{2}{3}) - (\frac{2}{3} \div 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \div \frac{2}{3}) : 3

= 3 - (\frac{2}{3} \div 2)

Calculate within parentheses

(\frac{2}{3} \div 2) : \frac{1}{3}

= 3 - \frac{1}{3}

Add and subtract (left to right)

3 - \frac{1}{3} : \frac{8}{3}

= \frac{8}{3}

Convert improper fractions to mixed numbers:

\frac{8}{3} = 2 \frac{2}{3}

= 2 \frac{2}{3}

- \frac{1}{3} + 3 \div 2

7 - \frac{2}{3} - \frac{1}{2}

18 + [9 - (- 3) + 5]

15 \div 3 \times 5 - 10

(9 + 1)^{3}

What is (2\div 2/3)-(2/3 \div 2) ?
The solution to (2\div 2/3)-(2/3 \div 2) is 2 2/3