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

The solution to (2\div 3)\div 2 is 1/3

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(2\div 3)\div 2

(2 \div 3) \div 2

\frac{1}{3}

Solution steps

(2 \div 3) \div 2

Follow the PEMDAS order of operations

Calculate within parentheses

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

2 \div 3

2 \div 3 = \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3} \div 2

Multiply and divide (left to right)

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

\frac{2}{3} \div 2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{3} \div \frac{2}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{3} \cdot \frac{1}{2}

Cross-cancel:

2

= \frac{1}{3}

= \frac{1}{3}

- 3^{2} - 4^{2}

8 \cdot 2^{7}

(+ 4 - 7) + (- 8)

(5 + 35) \div 5

765 + (529 - 345)