What is -[4-2\times (-5)]\div (-2-1) ?

The solution to -[4-2\times (-5)]\div (-2-1) is 4 2/3

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Popular >

-[4-2\times (-5)]\div (-2-1)

Solution

- [4 - 2 \times (- 5)] \div (- 2 - 1)

Solution

4 \frac{2}{3}

Solution steps

- [4 - 2 \times (- 5)] \div (- 2 - 1)

Follow the PEMDAS order of operations

Calculate within parentheses

[4 - 2 \times (- 5)] : 14

4 - 2 \times (- 5)

Multiply and divide (left to right)

2 \times (- 5) : - 10

2 \times (- 5)

Apply rule

a \times (- b) = - a \times b

2 \times (- 5) = - 2 \times 5 = - 10

= - 10

= 4 - (- 10)

Add and subtract (left to right)

4 - (- 10) : 14

4 - (- 10)

Apply rule

- (- a) = + a

- (- 10) = + 10

= 4 + 10

4 + 10 = 14

= 14

= 14

= - 14 \div (- 2 - 1)

Calculate within parentheses

(- 2 - 1) : - 3

- 2 - 1

- 2 - 1 = - 3

= - 3

= - 14 \div (- 3)

Multiply and divide (left to right)

- 14 \div (- 3) : \frac{- 14}{( - 3 )}

- 14 \div (- 3)

Apply rule

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

- 14 \div (- 3) = 14 \div 3 = \frac{- 14}{( - 3 )}

= \frac{- 14}{( - 3 )}

= \frac{- 14}{( - 3 )}

Simplify

\frac{- 14}{( - 3 )} : 4 \frac{2}{3}

Apply the fraction rule:

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

= \frac{14}{3}

Convert improper fractions to mixed numbers:

\frac{14}{3} = 4 \frac{2}{3}

\frac{14}{3} = 4

Remainder

2

\frac{14}{3}

Write the problem in long division format

3 \overline{∣ 14}

Divide

14

3

to get

4

Divide

14

3

to get

4

4 3 \overline{∣ 14}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 14} \underline{12}

Subtract

12

from

14

4 3 \overline{∣ 14} \underline{12} 2

4 3 \overline{∣ 14} \underline{12} 2

The solution for Long Division of

\frac{14}{3}

4

with remainder of

2

4 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{14}{3} = 4 \frac{2}{3}

= 4 \frac{2}{3}

= 4 \frac{2}{3}

Popular Examples

-3(4)^2+24(4)-45

- 3 (4)^{2} + 24 (4) - 45

(45\div 5+10)\div (12\times 5-45+12)

(45 \div 5 + 10) \div (12 \times 5 - 45 + 12)

(27-18+3)\div 4(3)

(27 - 18 + 3) \div 4 (3)

26-24\div 6\times 4+42

26 - 24 \div 6 \times 4 + 42

(36\div 3(8-2))\div 6

(36 \div 3 (8 - 2)) \div 6

Frequently Asked Questions (FAQ)

What is -[4-2\times (-5)]\div (-2-1) ?
The solution to -[4-2\times (-5)]\div (-2-1) is 4 2/3