What is 1/2 (1-12/13) ?

The solution to 1/2 (1-12/13) is 1/26

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1/2 (1-12/13)

\frac{1}{2} (1 - \frac{12}{13})

\frac{1}{26}

Solution steps

\frac{1}{2} (1 - \frac{12}{13})

Follow the PEMDAS order of operations

Calculate within parentheses

(1 - \frac{12}{13}) : \frac{1}{13}

1 - \frac{12}{13}

1 - \frac{12}{13} = \frac{1}{13}

1 - \frac{12}{13}

Convert element to fraction:

1 = \frac{1 \cdot 13}{13}

= \frac{1 \cdot 13}{13} - \frac{12}{13}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{1 \cdot 13 - 12}{13}

1 \cdot 13 - 12 = 1

1 \cdot 13 - 12

Multiply the numbers:

1 \cdot 13 = 13

= 13 - 12

Subtract the numbers:

13 - 12 = 1

= 1

= \frac{1}{13}

= \frac{1}{13}

= \frac{1}{2} \cdot \frac{1}{13}

Multiply and divide (left to right)

\frac{1}{2} \cdot \frac{1}{13} : \frac{1}{26}

\frac{1}{2} \cdot \frac{1}{13}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{2 \cdot 13}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{2 \cdot 13}

Multiply the numbers:

2 \cdot 13 = 26

= \frac{1}{26}

= \frac{1}{26}

3 (4)^{2} - 12 (4) + 8

(9 - (8 + 3 \times 6)) + (- 10)

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

2 \times (- 1) + 5

6 (7 - 3) + 2 (4^{3})