What is [(17-15)+(7-12)]\div [(6-7)\div (12-23)] ?

The solution to [(17-15)+(7-12)]\div [(6-7)\div (12-23)] is -33

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

[(17-15)+(7-12)]\div [(6-7)\div (12-23)]

[(17 - 15) + (7 - 12)] \div [(6 - 7) \div (12 - 23)]

- 33

Solution steps

[(17 - 15) + (7 - 12)] \div [(6 - 7) \div (12 - 23)]

Follow the PEMDAS order of operations

Calculate within parentheses

[(17 - 15) + (7 - 12)] : - 3

(17 - 15) + (7 - 12)

Calculate within parentheses

(17 - 15) : 2

17 - 15

17 - 15 = 2

= 2

= 2 + (7 - 12)

Calculate within parentheses

(7 - 12) : - 5

7 - 12

7 - 12 = - 5

= - 5

= 2 - 5

Add and subtract (left to right)

2 - 5 : - 3

2 - 5

2 - 5 = - 3

= - 3

= - 3

= - 3 \div [(6 - 7) \div (12 - 23)]

Calculate within parentheses

[(6 - 7) \div (12 - 23)] : \frac{- 1}{( - 11 )}

(6 - 7) \div (12 - 23)

Calculate within parentheses

(6 - 7) : - 1

6 - 7

6 - 7 = - 1

= - 1

= - 1 \div (12 - 23)

Calculate within parentheses

(12 - 23) : - 11

12 - 23

12 - 23 = - 11

= - 11

= - 1 \div (- 11)

Multiply and divide (left to right)

- 1 \div (- 11) : \frac{- 1}{( - 11 )}

- 1 \div (- 11)

Apply rule

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

- 1 \div (- 11) = 1 \div 11 = \frac{- 1}{( - 11 )}

= \frac{- 1}{( - 11 )}

= \frac{- 1}{( - 11 )}

= - 3 \div \frac{- 1}{( - 11 )}

Multiply and divide (left to right)

- 3 \div \frac{- 1}{( - 11 )} : - 33

- 3 \div \frac{- 1}{( - 11 )}

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{3}{1} \div \frac{- 1}{( - 11 )}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= - \frac{3}{1} \cdot \frac{( - 11 )}{- 1}

Apply rule

\frac{a}{1} = a

= - 3 \cdot \frac{- 11}{- 1}

\frac{- 11}{- 1} = 11

\frac{- 11}{- 1}

Apply the fraction rule:

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

= \frac{11}{1}

Apply rule

\frac{a}{1} = a

= 11

= - 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= - 33

= - 33

8 (- 1)^{2}

80 \div [25 - (+ 3) + (+ 2) + (+ 2)]

- 6 - 10 - 3 + 12 + 13 + 14

5 - (- 1)^{2}

\frac{1}{3} (4)^{3}

What is [(17-15)+(7-12)]\div [(6-7)\div (12-23)] ?
The solution to [(17-15)+(7-12)]\div [(6-7)\div (12-23)] is -33