What is -(-4+(-8)/3+16/4) ?

The solution to -(-4+(-8)/3+16/4) is 2 2/3

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Popular >

-(-4+(-8)/3+16/4)

Solution

- (- 4 + \frac{- 8}{3} + \frac{16}{4})

Solution

2 \frac{2}{3}

Solution steps

- (- 4 + \frac{- 8}{3} + \frac{16}{4})

Apply the fraction rule

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

- \frac{8}{3}

= - (- 4 - \frac{8}{3} + \frac{16}{4})

\frac{16}{4} = 4

Divide the numbers:

\frac{16}{4} = 4

4

= - (- 4 - \frac{8}{3} + 4)

Follow the PEMDAS order of operations

Calculate within parentheses

(- 4 - \frac{8}{3} + 4) : - \frac{8}{3}

- 4 - \frac{8}{3} + 4

Add and subtract (left to right)

- 4 - \frac{8}{3} = - \frac{20}{3}

= - \frac{20}{3} + 4

- \frac{20}{3} + 4 = - \frac{8}{3}

- \frac{20}{3} + 4

Convert element to fraction:

4 = \frac{4 \cdot 3}{3}

= \frac{4 \cdot 3}{3} - \frac{20}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 3 - 20}{3}

4 \cdot 3 - 20 = - 8

4 \cdot 3 - 20

Multiply the numbers:

4 \cdot 3 = 12

= 12 - 20

Subtract the numbers:

12 - 20 = - 8

= - 8

= \frac{- 8}{3}

Apply the fraction rule:

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

= - \frac{8}{3}

= - \frac{8}{3}

= - (- \frac{8}{3})

Add and subtract (left to right)

- (- \frac{8}{3}) : \frac{8}{3}

- (- \frac{8}{3})

Apply rule

- (- a) = a

- (- \frac{8}{3}) = \frac{8}{3}

= \frac{8}{3}

= \frac{8}{3}

Convert improper fractions to mixed numbers:

\frac{8}{3} = 2 \frac{2}{3}

\frac{8}{3} = 2

Remainder

2

\frac{8}{3}

Write the problem in long division format

3 \overline{∣ 8}

Divide

8

3

to get

2

Divide

8

3

to get

2

2 3 \overline{∣ 8}

Multiply the quotient digit

(2)

by the divisor

3

2 3 \overline{∣ 8} \underline{6}

Subtract

6

from

8

2 3 \overline{∣ 8} \underline{6} 2

2 3 \overline{∣ 8} \underline{6} 2

The solution for Long Division of

\frac{8}{3}

2

with remainder of

2

2 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{8}{3} = 2 \frac{2}{3}

= 2 \frac{2}{3}

= 2 \frac{2}{3}

Popular Examples

(-2)/3 (10/2+(-2)+6)

\frac{- 2}{3} (\frac{10}{2} + (- 2) + 6)

3-60+54\times 4+6

3 - 60 + 54 \times 4 + 6

3(3)-2(-1)+4

3 (3) - 2 (- 1) + 4

8^3*2

8^{3} \cdot 2

(-2)^4-4(-2)^2

(- 2)^{4} - 4 (- 2)^{2}

Frequently Asked Questions (FAQ)

What is -(-4+(-8)/3+16/4) ?
The solution to -(-4+(-8)/3+16/4) is 2 2/3