What is (1-7)/(4(1)+4) ?

The solution to (1-7)/(4(1)+4) is -3/4

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(1-7)/(4(1)+4)

\frac{1 - 7}{4 ( 1 ) + 4}

- \frac{3}{4}

Solution steps

\frac{1 - 7}{4 ( 1 ) + 4}

Solve

1 - 7 : - 6

1 - 7 = - 6

= - 6

Solve

4 (1) + 4 : 8

Follow the PEMDAS order of operations

Multiply and divide (left to right)

4 (1) : 4

4 (1)

Apply rule:

(a) = a

(1) = 1

= 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

= 4

= 4 + 4

Add and subtract (left to right)

4 + 4 : 8

4 + 4

4 + 4 = 8

= 8

= 8

= \frac{- 6}{8}

Simplify

\frac{- 6}{8} : - \frac{3}{4}

Apply the fraction rule:

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

= - \frac{6}{8}

Cancel the common factor:

2

= - \frac{3}{4}

= - \frac{3}{4}

[10 - (3^{3} - 10)] \times (3 - 6)

\frac{5}{8} + (\frac{2}{4} - \frac{3}{2})

- 3^{2} + 8^{2}

7 \times 13 + 8 \times 7

- (10 + 8) + (- 15 + 33) - (- 1 + 8) - (- 17 + 10)