What is 2-((-13)/9+2/2) ?

The solution to 2-((-13)/9+2/2) is 2 4/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2-((-13)/9+2/2)

Solution

2 - (\frac{- 13}{9} + \frac{2}{2})

Solution

2 \frac{4}{9}

Solution steps

2 - (\frac{- 13}{9} + \frac{2}{2})

Apply the fraction rule

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

- \frac{13}{9}

= 2 - (- \frac{13}{9} + \frac{2}{2})

\frac{2}{2} = 1

Apply rule

\frac{a}{a} = 1

1

= 2 - (- \frac{13}{9} + 1)

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{13}{9} + 1) : - \frac{4}{9}

- \frac{13}{9} + 1

- \frac{13}{9} + 1 = - \frac{4}{9}

- \frac{13}{9} + 1

Convert element to fraction:

1 = \frac{1 \cdot 9}{9}

= \frac{1 \cdot 9}{9} - \frac{13}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 9 - 13}{9}

1 \cdot 9 - 13 = - 4

1 \cdot 9 - 13

Multiply the numbers:

1 \cdot 9 = 9

= 9 - 13

Subtract the numbers:

9 - 13 = - 4

= - 4

= \frac{- 4}{9}

Apply the fraction rule:

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

= - \frac{4}{9}

= - \frac{4}{9}

= 2 - (- \frac{4}{9})

Add and subtract (left to right)

2 - (- \frac{4}{9}) : \frac{22}{9}

2 - (- \frac{4}{9})

Apply rule

- (- a) = + a

- (- \frac{4}{9}) = + \frac{4}{9}

= 2 + \frac{4}{9}

2 + \frac{4}{9} = \frac{22}{9}

2 + \frac{4}{9}

Convert element to fraction:

2 = \frac{2 \cdot 9}{9}

= \frac{2 \cdot 9}{9} + \frac{4}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 9 + 4}{9}

2 \cdot 9 + 4 = 22

2 \cdot 9 + 4

Multiply the numbers:

2 \cdot 9 = 18

= 18 + 4

Add the numbers:

18 + 4 = 22

= 22

= \frac{22}{9}

= \frac{22}{9}

= \frac{22}{9}

Convert improper fractions to mixed numbers:

\frac{22}{9} = 2 \frac{4}{9}

\frac{22}{9} = 2

Remainder

4

\frac{22}{9}

Write the problem in long division format

9 \overline{∣ 22}

Divide

22

9

to get

2

Divide

22

9

to get

2

2 9 \overline{∣ 22}

Multiply the quotient digit

(2)

by the divisor

9

2 9 \overline{∣ 22} \underline{18}

Subtract

18

from

22

2 9 \overline{∣ 22} \underline{18} 4

2 9 \overline{∣ 22} \underline{18} 4

The solution for Long Division of

\frac{22}{9}

2

with remainder of

4

2 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{22}{9} = 2 \frac{4}{9}

= 2 \frac{4}{9}

= 2 \frac{4}{9}

Popular Examples

(-2+2^2)^3

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

(-2)(-3)+5(-3-(-8))

(- 2) (- 3) + 5 (- 3 - (- 8))

34-13*5

34 - 13 \cdot 5

3-4(2(3)-1)

3 - 4 (2 (3) - 1)

2^2-4(6)(3)

2^{2} - 4 (6) (3)

Frequently Asked Questions (FAQ)

What is 2-((-13)/9+2/2) ?
The solution to 2-((-13)/9+2/2) is 2 4/9