The solution to 7/8-125-25 is -1193/8

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7/8-125-25

Solution

\frac{7}{8} - 125 - 25

- \frac{1193}{8}

Solution steps

\frac{7}{8} - 125 - 25

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{7}{8} - 125 = - \frac{993}{8}

\frac{7}{8} - 125

Convert element to fraction:

125 = \frac{125 \cdot 8}{8}

= - \frac{125 \cdot 8}{8} + \frac{7}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{- 125 \cdot 8 + 7}{8}

- 125 \cdot 8 + 7 = - 993

- 125 \cdot 8 + 7

Multiply the numbers:

125 \cdot 8 = 1000

= - 1000 + 7

Add/Subtract the numbers:

- 1000 + 7 = - 993

= - 993

= \frac{- 993}{8}

Apply the fraction rule:

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

= - \frac{993}{8}

= - \frac{993}{8} - 25

- \frac{993}{8} - 25 = - \frac{1193}{8}

- \frac{993}{8} - 25

Convert element to fraction:

25 = \frac{25 \cdot 8}{8}

= - \frac{25 \cdot 8}{8} - \frac{993}{8}

Since the denominators are equal, combine the fractions:

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

= \frac{- 25 \cdot 8 - 993}{8}

- 25 \cdot 8 - 993 = - 1193

- 25 \cdot 8 - 993

Multiply the numbers:

25 \cdot 8 = 200

= - 200 - 993

Subtract the numbers:

- 200 - 993 = - 1193

= - 1193

= \frac{- 1193}{8}

Apply the fraction rule:

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

= - \frac{1193}{8}

= - \frac{1193}{8}

41 + 5 \cdot (- 9) + (63 \div 7 - 4)

(12 \div 4) + 20 - [2 \times 3 - 2] + 4

(3 (5) - 5) (4 - 6 (5))

8 \cdot \frac{1}{2} + 3 \cdot 7 - 18

9 - 12 + 4