What is 3(2\div 3)-4 ?

The solution to 3(2\div 3)-4 is -2

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3(2\div 3)-4

3 (2 \div 3) - 4

- 2

Solution steps

3 (2 \div 3) - 4

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}

= 3 \cdot \frac{2}{3} - 4

Multiply and divide (left to right)

3 \cdot \frac{2}{3} : 2

3 \cdot \frac{2}{3}

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= 2

= 2 - 4

Add and subtract (left to right)

2 - 4 : - 2

2 - 4

2 - 4 = - 2

= - 2

= - 2

(9 + 8) + (16 - 9)

10 (5) + 5

5 5^{2} - 5 0^{2}

\frac{2}{3} - (- \frac{1}{8} + \frac{3}{4})

8 (1)^{3}