What is (16(-3)/2)-1 ?

The solution to (16(-3)/2)-1 is -25

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(16(-3)/2)-1

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

- 25

Solution steps

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

Apply the fraction rule

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

- \frac{3}{2}

= 16 (- \frac{3}{2}) - 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

16 (- \frac{3}{2}) : - 24

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

Apply rule

a \cdot (- b) = - a \cdot b

16 (- \frac{3}{2}) = - 16 \cdot \frac{3}{2}

Convert element to fraction:

16 = \frac{16}{1}

= - \frac{16}{1} \cdot \frac{3}{2}

Apply the fraction rule:

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

\frac{16}{1} \cdot \frac{3}{2} = \frac{16 \cdot 3}{1 \cdot 2}

= - \frac{16 \cdot 3}{1 \cdot 2}

Cancel

\frac{16 \cdot 3}{1 \cdot 2} : 24

\frac{16 \cdot 3}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{16 \cdot 3}{2}

Divide the numbers:

\frac{16}{2} = 8

= 8 \cdot 3

Multiply the numbers:

8 \cdot 3 = 24

= 24

= - 24

= - 24 - 1

Add and subtract (left to right)

- 24 - 1 : - 25

- 24 - 1

- 24 - 1 = - 25

= - 25

= - 25

- 1^{2} + 2 (- 1) - 1

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

3 \times 19 \times 14 + 18 \div 2

25 + (500 + 700 \div 20) - 5 + 30 - 7

\frac{1}{3} + \frac{2}{4}