What is -9/7 (3-1/3)(1/2) ?

The solution to -9/7 (3-1/3)(1/2) is -12/7

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-9/7 (3-1/3)(1/2)

- \frac{9}{7} (3 - \frac{1}{3}) (\frac{1}{2})

- \frac{12}{7}

Solution steps

- \frac{9}{7} (3 - \frac{1}{3}) (\frac{1}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - \frac{1}{3}) : \frac{8}{3}

3 - \frac{1}{3}

3 - \frac{1}{3} = \frac{8}{3}

3 - \frac{1}{3}

Convert element to fraction:

3 = \frac{3 \cdot 3}{3}

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

Since the denominators are equal, combine the fractions:

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

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

3 \cdot 3 - 1 = 8

3 \cdot 3 - 1

Multiply the numbers:

3 \cdot 3 = 9

= 9 - 1

Subtract the numbers:

9 - 1 = 8

= 8

= \frac{8}{3}

= \frac{8}{3}

= - \frac{9}{7} \cdot \frac{8}{3} (\frac{1}{2})

Multiply and divide (left to right)

- \frac{9}{7} \cdot \frac{8}{3} (\frac{1}{2}) : - \frac{12}{7}

- \frac{9}{7} \cdot \frac{8}{3} (\frac{1}{2})

- \frac{9}{7} \frac{8}{3} = - \frac{24}{7}

- \frac{9}{7} \cdot \frac{8}{3}

Apply the fraction rule:

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

\frac{9}{7} \cdot \frac{8}{3} = \frac{9 \cdot 8}{7 \cdot 3}

= - \frac{9 \cdot 8}{7 \cdot 3}

Cancel

\frac{9 \cdot 8}{7 \cdot 3} : \frac{24}{7}

\frac{9 \cdot 8}{7 \cdot 3}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 3 \cdot 8}{7 \cdot 3}

Cancel the common factor:

3

= \frac{3 \cdot 8}{7}

Multiply the numbers:

3 \cdot 8 = 24

= \frac{24}{7}

= - \frac{24}{7}

= - \frac{24}{7} (\frac{1}{2})

- \frac{24}{7} (\frac{1}{2}) = - \frac{12}{7}

- \frac{24}{7} (\frac{1}{2})

Apply rule:

(a) = a

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

= - \frac{24}{7} \cdot \frac{1}{2}

- \frac{24}{7} \cdot \frac{1}{2} = - \frac{12}{7}

- \frac{24}{7} \cdot \frac{1}{2}

Apply the fraction rule:

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

\frac{24}{7} \cdot \frac{1}{2} = \frac{24 \cdot 1}{7 \cdot 2}

= - \frac{24 \cdot 1}{7 \cdot 2}

\frac{24 \cdot 1}{7 \cdot 2} = \frac{12}{7}

\frac{24 \cdot 1}{7 \cdot 2}

Multiply the numbers:

24 \cdot 1 = 24

= \frac{24}{7 \cdot 2}

Factor the number:

24 = 2 \cdot 12

= \frac{2 \cdot 12}{7 \cdot 2}

Cancel the common factor:

2

= \frac{12}{7}

= - \frac{12}{7}

= - \frac{12}{7}

= - \frac{12}{7}

= - \frac{12}{7}

- 5 \times 1 + 5

- 10 (- 5)^{2} - 10 (- 5)^{2} + 10 (- 5) (- 3)

- 4 (- 2)^{5} - 2 (- 2)^{4} - 6

4 - 8 + 3 - 6

\frac{1}{2} + \frac{3}{2}