What is (-1-2(9/14))/4 ?

The solution to (-1-2(9/14))/4 is -4/7

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(-1-2(9/14))/4

\frac{- 1 - 2 ( \frac{9}{14} )}{4}

- \frac{4}{7}

Solution steps

\frac{- 1 - 2 ( \frac{9}{14} )}{4}

Solve

- 1 - 2 (\frac{9}{14}) : - \frac{16}{7}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (\frac{9}{14}) : \frac{9}{7}

2 (\frac{9}{14})

Apply rule:

(a) = a

(\frac{9}{14}) = \frac{9}{14}

= 2 \cdot \frac{9}{14}

2 \cdot \frac{9}{14} = \frac{9}{7}

2 \cdot \frac{9}{14}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{9}{14}

Apply the fraction rule:

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

= \frac{2 \cdot 9}{1 \cdot 14}

\frac{2 \cdot 9}{1 \cdot 14} = \frac{9}{7}

\frac{2 \cdot 9}{1 \cdot 14}

Multiply the numbers:

1 \cdot 14 = 14

= \frac{2 \cdot 9}{14}

Factor the number:

14 = 2 \cdot 7

= \frac{2 \cdot 9}{2 \cdot 7}

Cancel the common factor:

2

= \frac{9}{7}

= \frac{9}{7}

= \frac{9}{7}

= - 1 - \frac{9}{7}

Add and subtract (left to right)

- 1 - \frac{9}{7} : - \frac{16}{7}

- 1 - \frac{9}{7}

- 1 - \frac{9}{7} = - \frac{16}{7}

= - \frac{16}{7}

= - \frac{16}{7}

= \frac{- \frac{16}{7}}{4}

Simplify

\frac{- \frac{16}{7}}{4} : - \frac{4}{7}

Apply the fraction rule:

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

= - \frac{\frac{16}{7}}{4}

Apply the fraction rule:

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

\frac{\frac{16}{7}}{4} = \frac{16}{7 \cdot 4}

= - \frac{16}{7 \cdot 4}

Multiply the numbers:

7 \cdot 4 = 28

= - \frac{16}{28}

Cancel the common factor:

4

= - \frac{4}{7}

= - \frac{4}{7}

- 5 (6) + 4 (8)

(2 - 3)^{2} - 4

- 9 + (- 8) + 15 - 17 - (- 32) + 0

6 \times 3 - (2 + 5 \times 2) + (5 \times 3 - 8) - 1

[8 \times (23 - 19)] \div 2