What is (-9/27+1)/(-9/27) ?

The solution to (-9/27+1)/(-9/27) is -2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(-9/27+1)/(-9/27)

\frac{- 9/27 + 1}{- 9/27}

- 2

Solution steps

\frac{- 9/27 + 1}{- 9/27}

Solve

- 9/27 + 1 : \frac{2}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 9/27 : \frac{- 9}{27}

- 9/27

- 9/27 = \frac{- 9}{27}

= \frac{- 9}{27}

= \frac{- 9}{27} + 1

Add and subtract (left to right)

\frac{- 9}{27} + 1 : \frac{2}{3}

\frac{- 9}{27} + 1

\frac{- 9}{27} + 1 = \frac{2}{3}

\frac{- 9}{27} + 1

\frac{- 9}{27} = - \frac{1}{3}

\frac{- 9}{27}

Apply the fraction rule:

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

= - \frac{9}{27}

Cancel the common factor:

9

= - \frac{1}{3}

= - \frac{1}{3} + 1

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

1 \cdot 3 - 1 = 2

1 \cdot 3 - 1

Multiply the numbers:

1 \cdot 3 = 3

= 3 - 1

Subtract the numbers:

3 - 1 = 2

= 2

= \frac{2}{3}

= \frac{2}{3}

= \frac{2}{3}

Solve

- 9/27 : - \frac{1}{3}

Follow the PEMDAS order of operations

- 9/27 = \frac{- 9}{27}

= \frac{- 9}{27}

Simplify

\frac{- 9}{27} : - \frac{1}{3}

Apply the fraction rule:

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

= - \frac{9}{27}

Cancel the common factor:

9

= - \frac{1}{3}

= \frac{\frac{2}{3}}{- \frac{1}{3}}

Simplify

\frac{\frac{2}{3}}{- \frac{1}{3}} : - 2

Apply the fraction rule:

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

= - \frac{\frac{2}{3}}{\frac{1}{3}}

Divide fractions:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= - \frac{2 \cdot 3}{3 \cdot 1}

Refine

= - \frac{2 \cdot 3}{3}

Cancel the common factor:

3

= - 2

= - 2

2 (11)^{3}

63464 + 67553 - 345643 - 2452

- 0^{2} + 1

2 (2)^{2} + 3 (2) - 1

360 (- 2)^{2} - 24