The solution to 5/4 (-8)+1 is -9

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5/4 (-8)+1

Solution

\frac{5}{4} (- 8) + 1

- 9

Solution steps

\frac{5}{4} (- 8) + 1

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{4} (- 8) : - 10

\frac{5}{4} (- 8)

Apply rule

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

\frac{5}{4} (- 8) = - \frac{5}{4} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= - \frac{5}{4} \cdot \frac{8}{1}

Apply the fraction rule:

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

\frac{5}{4} \cdot \frac{8}{1} = \frac{5 \cdot 8}{4 \cdot 1}

= - \frac{5 \cdot 8}{4 \cdot 1}

Cancel

\frac{5 \cdot 8}{4 \cdot 1} : 10

\frac{5 \cdot 8}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{5 \cdot 8}{4}

Divide the numbers:

\frac{8}{4} = 2

= 5 \cdot 2

Multiply the numbers:

5 \cdot 2 = 10

= 10

= - 10

= - 10 + 1

Add and subtract (left to right)

- 10 + 1 : - 9

- 10 + 1

- 10 + 1 = - 9

= - 9

= - 9

2^{2} - 2 + 1

3^{2} + (12 \div 2 + 3^{2})

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

- 2 - (- 3)^{2} + (7 - 5)^{2}

- 2 (- 3 + (- 5 + 3) - 3 (4 - 6) + 11)