What is 20(\frac{(-4))/(-6)}{(5-8)}+4\times (1-2) ?

The solution to 20(\frac{(-4))/(-6)}{(5-8)}+4\times (1-2) is -76/9

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Popular >

simplify 20(\frac{(-4))/(-6)}{(5-8)}+4\times (1-2)

Solution

simplify

20 \frac{\frac{( - 4 )}{- 6}}{( 5 - 8 )} + 4 \cdot (1 - 2)

Solution

- \frac{76}{9}

Decimal Notation

- 8.44444 \dots

Solution steps

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8} + 4 (1 - 2)

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8} = - \frac{40}{9}

20 \cdot \frac{\frac{- 4}{- 6}}{5 - 8}

Apply the fraction rule:

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

\frac{\frac{- 4}{- 6}}{5 - 8} = \frac{- 4}{- 6 ( 5 - 8 )}

= 20 \cdot \frac{- 4}{- 6 ( 5 - 8 )}

Cancel

\frac{- 4}{- 6 ( 5 - 8 )} : - \frac{2}{9}

\frac{- 4}{- 6 ( 5 - 8 )}

Subtract the numbers:

5 - 8 = - 3

= \frac{- 4}{- 6 ( - 3 )}

Remove parentheses:

- 6 (- 3) = 6 \cdot 3

= \frac{- 4}{6 \cdot 3}

Factor the number:

4 = 2 \cdot 2

= \frac{- 2 \cdot 2}{6 \cdot 3}

Factor the number:

6 = 2 \cdot 3

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

Cancel the common factor:

2

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

\frac{- 2}{3 \cdot 3} = - \frac{2}{9}

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{- 2}{9}

Apply the fraction rule:

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

= - \frac{2}{9}

= - \frac{2}{9}

= 20 (- \frac{2}{9})

Apply rule:

a (- b) = - ab

20 (- \frac{2}{9}) = - 20 \cdot \frac{2}{9}

= - 20 \cdot \frac{2}{9}

- 20 \cdot \frac{2}{9} = - \frac{40}{9}

- 20 \cdot \frac{2}{9}

Convert element to fraction:

20 = \frac{20}{1}

= - \frac{20}{1} \cdot \frac{2}{9}

Apply the fraction rule:

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

\frac{20}{1} \cdot \frac{2}{9} = \frac{20 \cdot 2}{1 \cdot 9}

= - \frac{20 \cdot 2}{1 \cdot 9}

Multiply the numbers:

20 \cdot 2 = 40

= - \frac{40}{1 \cdot 9}

Multiply the numbers:

1 \cdot 9 = 9

= - \frac{40}{9}

= - \frac{40}{9}

4 (1 - 2) = - 4

4 (1 - 2)

Subtract the numbers:

1 - 2 = - 1

= 4 (- 1)

Multiply the numbers:

4 (- 1) = - 4

= - 4

= - \frac{40}{9} - 4

- \frac{40}{9} - 4 = - \frac{76}{9}

- \frac{40}{9} - 4

Convert

- 4

to fraction

: \frac{- 36}{9}

- 4

Apply the fraction rule:

a = \frac{ab}{b}

= \frac{- 4 \cdot 9}{9}

Multiply the numbers:

4 \cdot 9 = 36

= \frac{- 36}{9}

= - \frac{40}{9} + \frac{- 36}{9}

- \frac{40}{9} + \frac{- 36}{9} = \frac{- 76}{9}

- \frac{40}{9} + \frac{- 36}{9}

Apply the fraction rule:

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

= \frac{- 40 - 36}{9}

Subtract the numbers:

- 40 - 36 = - 76

= \frac{- 76}{9}

= \frac{- 76}{9}

Apply the fraction rule:

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

= - \frac{76}{9}

= - \frac{76}{9}

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Frequently Asked Questions (FAQ)

What is 20(\frac{(-4))/(-6)}{(5-8)}+4\times (1-2) ?
The solution to 20(\frac{(-4))/(-6)}{(5-8)}+4\times (1-2) is -76/9