What is 1/2 \times 3\times (5+7) ?

The solution to 1/2 \times 3\times (5+7) is 18

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1/2 \times 3\times (5+7)

\frac{1}{2} \cdot 3 \cdot (5 + 7)

18

Solution steps

\frac{1}{2} \cdot 3 (5 + 7)

Follow the PEMDAS order of operations

Calculate within parentheses

(5 + 7) : 12

5 + 7

5 + 7 = 12

= 12

= \frac{1}{2} \cdot 3 \cdot 12

Multiply and divide (left to right)

\frac{1}{2} \cdot 3 \cdot 12 : 18

\frac{1}{2} \cdot 3 \cdot 12

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

\frac{1}{2} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 3 = 3

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

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3}{2}

= \frac{3}{2} \cdot 12

\frac{3}{2} \cdot 12 = 18

\frac{3}{2} \cdot 12

Convert element to fraction:

12 = \frac{12}{1}

= \frac{3}{2} \cdot \frac{12}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 12}{2 \cdot 1}

Cancel

\frac{3 \cdot 12}{2 \cdot 1} : 18

\frac{3 \cdot 12}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{3 \cdot 12}{2}

Divide the numbers:

\frac{12}{2} = 6

= 3 \cdot 6

Multiply the numbers:

3 \cdot 6 = 18

= 18

= 18

= 18

= 18

- (- 3) + (- 4) + 5 + (- 2)

2 (2 - (- 3 + 6)) - 3

\frac{3}{4} (2)^{3}

[9 - (+ 5)] + [7 + (- 10)]

4 - 12 + 9

What is 1/2 \times 3\times (5+7) ?
The solution to 1/2 \times 3\times (5+7) is 18