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

The solution to 3\div 2(3+3) is 9

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3\div 2(3+3)

3 \div 2 (3 + 3)

9

Solution steps

3 \div 2 (3 + 3)

Follow the PEMDAS order of operations

Calculate within parentheses

(3 + 3) : 6

3 + 3

3 + 3 = 6

= 6

= 3 \div 2 \cdot 6

Multiply and divide (left to right)

3 \div 2 \cdot 6 : 9

3 \div 2 \cdot 6

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

= \frac{3}{2} \cdot 6

\frac{3}{2} 6 = 9

\frac{3}{2} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{3}{2} \cdot \frac{6}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 6}{2 \cdot 1}

Cancel

\frac{3 \cdot 6}{2 \cdot 1} : 9

\frac{3 \cdot 6}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 6}{2}

Divide the numbers:

\frac{6}{2} = 3

= 3 \cdot 3

Multiply the numbers:

3 \cdot 3 = 9

= 9

= 9

= 9

= 9

2^{3} - 2 - 6

\frac{1}{3} \times 12

- 3 (- 8)^{2} - (- 8) - 15

\frac{1}{4} - 1 + 1

2 + (5 - 2) \times 5