What is [-(24-8)*2-24]\div [22-(-3+2)] ?

The solution to [-(24-8)*2-24]\div [22-(-3+2)] is -2 10/23

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Popular >

[-(24-8)*2-24]\div [22-(-3+2)]

Solution

[- (24 - 8) \cdot 2 - 24] \div [22 - (- 3 + 2)]

Solution

- 2 \frac{10}{23}

Solution steps

[- (24 - 8) \cdot 2 - 24] \div [22 - (- 3 + 2)]

Follow the PEMDAS order of operations

Calculate within parentheses

[- (24 - 8) \cdot 2 - 24] : - 56

- (24 - 8) \cdot 2 - 24

Calculate within parentheses

(24 - 8) : 16

24 - 8

24 - 8 = 16

= 16

= - 16 \cdot 2 - 24

Multiply and divide (left to right)

- 16 \cdot 2 : - 32

- 16 \cdot 2

- 16 \cdot 2 = - 32

= - 32

= - 32 - 24

Add and subtract (left to right)

- 32 - 24 : - 56

- 32 - 24

- 32 - 24 = - 56

= - 56

= - 56

= - 56 \div [22 - (- 3 + 2)]

Calculate within parentheses

[22 - (- 3 + 2)] : 23

22 - (- 3 + 2)

Calculate within parentheses

(- 3 + 2) : - 1

- 3 + 2

- 3 + 2 = - 1

= - 1

= 22 - (- 1)

Add and subtract (left to right)

22 - (- 1) : 23

22 - (- 1)

Apply rule

- (- a) = + a

- (- 1) = + 1

= 22 + 1

22 + 1 = 23

= 23

= 23

= - 56 \div 23

Multiply and divide (left to right)

- 56 \div 23 : \frac{- 56}{23}

- 56 \div 23

- 56 \div 23 = \frac{- 56}{23}

= \frac{- 56}{23}

= \frac{- 56}{23}

Simplify

\frac{- 56}{23} : - 2 \frac{10}{23}

Apply the fraction rule:

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

= - \frac{56}{23}

Convert improper fractions to mixed numbers:

\frac{56}{23} = 2 \frac{10}{23}

\frac{56}{23} = 2

Remainder

10

\frac{56}{23}

Write the problem in long division format

23 \overline{∣ 56}

Divide

56

23

to get

2

Divide

56

23

to get

2

2 23 \overline{∣ 56}

Multiply the quotient digit

(2)

by the divisor

23

2 23 \overline{∣ 56} \underline{46}

Subtract

46

from

56

2 23 \overline{∣ 56} \underline{46} 10

2 23 \overline{∣ 56} \underline{46} 10

The solution for Long Division of

\frac{56}{23}

2

with remainder of

10

2 Remainder 10

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{56}{23} = 2 \frac{10}{23}

= 2 \frac{10}{23}

= - 2 \frac{10}{23}

Popular Examples

3(-3)-2+((-3)^2-3(-3))

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

[(3^2-1/5)+5]

[(3^{2} - \frac{1}{5}) + 5]

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\frac{1}{4} (- 3) + 2

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\frac{2 ^{7} + 4 ^{3}}{8 ^{3} + 1 6 ^{2}}

2(-5)^2+3(-5)

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

Frequently Asked Questions (FAQ)

What is [-(24-8)*2-24]\div [22-(-3+2)] ?
The solution to [-(24-8)*2-24]\div [22-(-3+2)] is -2 10/23