What is (-12+2(21/2))/(1+2) ?

The solution to (-12+2(21/2))/(1+2) is 3

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(-12+2(21/2))/(1+2)

\frac{- 12 + 2 ( 21/2 )}{1 + 2}

3

Solution steps

\frac{- 12 + 2 ( 21/2 )}{1 + 2}

Solve

- 12 + 2 (21/2) : 9

Follow the PEMDAS order of operations

Calculate within parentheses

(21/2) : \frac{21}{2}

21/2

21/2 = \frac{21}{2}

= \frac{21}{2}

= - 12 + 2 \cdot \frac{21}{2}

Multiply and divide (left to right)

2 \cdot \frac{21}{2} : 21

2 \cdot \frac{21}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{21}{2}

Cross-cancel common factor:

2

= \frac{21}{1}

Divide the numbers:

\frac{21}{1} = 21

= 21

= - 12 + 21

Add and subtract (left to right)

- 12 + 21 : 9

- 12 + 21

- 12 + 21 = 9

= 9

= 9

Solve

1 + 2 : 3

1 + 2 = 3

= 3

= \frac{9}{3}

Divide the numbers:

\frac{9}{3} = 3

= 3

\frac{1}{2} (2)^{1}

\frac{1}{2} (2)^{0}

5 \frac{1}{10} + 1^{2} /5

(3 \times 9 \times 7 + 9) \times 0

3 + 8 \div 4