The solution to -1/2 (3)-1 is -5/2

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-1/2 (3)-1

Solution

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

- \frac{5}{2}

Solution steps

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- \frac{1}{2} (3) : - \frac{3}{2}

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

Apply rule:

(a) = a

(3) = 3

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

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

= - \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}

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

Add and subtract (left to right)

- \frac{3}{2} - 1 : - \frac{5}{2}

- \frac{3}{2} - 1

- \frac{3}{2} - 1 = - \frac{5}{2}

- \frac{3}{2} - 1

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

- 1 \cdot 2 - 3 = - 5

- 1 \cdot 2 - 3

Multiply the numbers:

1 \cdot 2 = 2

= - 2 - 3

Subtract the numbers:

- 2 - 3 = - 5

= - 5

= \frac{- 5}{2}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{5}{2}

= - \frac{5}{2}

= - \frac{5}{2}

(- 20 + 36) - (- 9)

(\frac{3}{5} + \frac{1}{10}) \div \frac{7}{2}

- 3 (- 5)^{2}

- 0^{2} - 7

180 \div 360 \times 4^{2}