What is 2/8 (-2)-5/2 ?

The solution to 2/8 (-2)-5/2 is -3

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2/8 (-2)-5/2

\frac{2}{8} (- 2) - \frac{5}{2}

- 3

Solution steps

\frac{2}{8} (- 2) - \frac{5}{2}

\frac{2}{8} = \frac{1}{4}

Cancel the common factor:

2

\frac{1}{4}

= \frac{1}{4} (- 2) - \frac{5}{2}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{4} (- 2) : - \frac{1}{2}

\frac{1}{4} (- 2)

Apply rule

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

\frac{1}{4} (- 2) = - \frac{1}{4} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{1}{4} \cdot \frac{2}{1}

Apply the fraction rule:

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

\frac{1}{4} \cdot \frac{2}{1} = \frac{1 \cdot 2}{4 \cdot 1}

= - \frac{1 \cdot 2}{4 \cdot 1}

\frac{1 \cdot 2}{4 \cdot 1} = \frac{1}{2}

\frac{1 \cdot 2}{4 \cdot 1}

\frac{1 \cdot 2}{4 \cdot 1} = \frac{2}{4}

\frac{1 \cdot 2}{4 \cdot 1}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{2}{4}

= \frac{2}{4}

Cancel the numbers:

\frac{2}{4} = \frac{1}{2}

= \frac{1}{2}

= - \frac{1}{2}

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

Add and subtract (left to right)

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

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

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

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

Apply rule

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

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

Subtract the numbers:

- 1 - 5 = - 6

= \frac{- 6}{2}

Apply the fraction rule:

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

= - \frac{6}{2}

Divide the numbers:

\frac{6}{2} = 3

= - 3

= - 3

= - 3

2 - 3 + 4 - 9

- [\frac{6}{5} \div \frac{9}{10}]

- 2 + (+ 5)^{2}

2 \div 1 0^{2}

5^{3} - 65 + 8