What is -18\div (-6+7)-(-7+10-24)\div (11+14) ?

The solution to -18\div (-6+7)-(-7+10-24)\div (11+14) is -429/25

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-18\div (-6+7)-(-7+10-24)\div (11+14)

- 18 \div (- 6 + 7) - (- 7 + 10 - 24) \div (11 + 14)

- \frac{429}{25}

Solution steps

- 18 \div (- 6 + 7) - (- 7 + 10 - 24) \div (11 + 14)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 6 + 7) : 1

- 6 + 7

- 6 + 7 = 1

= 1

= - 18 \div 1 - (- 7 + 10 - 24) \div (11 + 14)

Calculate within parentheses

(- 7 + 10 - 24) : - 21

- 7 + 10 - 24

Add and subtract (left to right)

- 7 + 10 = 3

= 3 - 24

3 - 24 = - 21

= - 21

= - 18 \div 1 - (- 21) \div (11 + 14)

Calculate within parentheses

(11 + 14) : 25

11 + 14

11 + 14 = 25

= 25

= - 18 \div 1 - (- 21) \div 25

Multiply and divide (left to right)

- 18 \div 1 : - 18

- 18 \div 1

- 18 \div 1 = - 18

= - 18

= - 18 - (- 21) \div 25

Multiply and divide (left to right)

(- 21) \div 25 : \frac{( - 21 )}{25}

(- 21) \div 25

Apply rule

(- a) \div b = - a \div b

(- 21) \div 25 = - 21 \div 25 = \frac{( - 21 )}{25}

= \frac{( - 21 )}{25}

= - 18 - \frac{( - 21 )}{25}

Add and subtract (left to right)

- 18 - \frac{( - 21 )}{25} : - \frac{429}{25}

- 18 - \frac{( - 21 )}{25}

- 18 - \frac{( - 21 )}{25} = - \frac{429}{25}

- 18 - \frac{- 21}{25}

Apply the fraction rule:

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

= - 18 - (- \frac{21}{25})

Apply rule

- (- a) = a

= - 18 + \frac{21}{25}

Convert element to fraction:

18 = \frac{18 \cdot 25}{25}

= - \frac{18 \cdot 25}{25} + \frac{21}{25}

Since the denominators are equal, combine the fractions:

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

= \frac{- 18 \cdot 25 + 21}{25}

- 18 \cdot 25 + 21 = - 429

- 18 \cdot 25 + 21

Multiply the numbers:

18 \cdot 25 = 450

= - 450 + 21

Add/Subtract the numbers:

- 450 + 21 = - 429

= - 429

= \frac{- 429}{25}

Apply the fraction rule:

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

= - \frac{429}{25}

= - \frac{429}{25}

= - \frac{429}{25}

2^{2} + 5^{3}

3 + 5 \times (7 - 3)

39 - (15 - 5) + 6 \times 7

- [- 1 + (- 1 + 1) - 1 - (- 1 + 1) + 1]

125 - (5 \cdot 12)

What is -18\div (-6+7)-(-7+10-24)\div (11+14) ?
The solution to -18\div (-6+7)-(-7+10-24)\div (11+14) is -429/25