What is (8(-3)-4(6))/(5(3)+3(-7)) ?

The solution to (8(-3)-4(6))/(5(3)+3(-7)) is 8

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(8(-3)-4(6))/(5(3)+3(-7))

\frac{8 ( - 3 ) - 4 ( 6 )}{5 ( 3 ) + 3 ( - 7 )}

8

Solution steps

\frac{8 ( - 3 ) - 4 ( 6 )}{5 ( 3 ) + 3 ( - 7 )}

Solve

8 (- 3) - 4 (6) : - 48

Follow the PEMDAS order of operations

Multiply and divide (left to right)

8 (- 3) : - 24

8 (- 3)

Apply rule

a \cdot (- b) = - a \cdot b

8 (- 3) = - 8 \cdot 3 = - 24

= - 24

= - 24 - 4 (6)

Multiply and divide (left to right)

4 (6) : 24

4 (6)

Apply rule:

(a) = a

(6) = 6

= 4 \cdot 6

Multiply the numbers:

4 \cdot 6 = 24

= 24

= - 24 - 24

Add and subtract (left to right)

- 24 - 24 : - 48

- 24 - 24

- 24 - 24 = - 48

= - 48

= - 48

Solve

5 (3) + 3 (- 7) : - 6

Follow the PEMDAS order of operations

Multiply and divide (left to right)

5 (3) : 15

5 (3)

Apply rule:

(a) = a

(3) = 3

= 5 \cdot 3

Multiply the numbers:

5 \cdot 3 = 15

= 15

= 15 + 3 (- 7)

Multiply and divide (left to right)

3 (- 7) : - 21

3 (- 7)

Apply rule

a \cdot (- b) = - a \cdot b

3 (- 7) = - 3 \cdot 7 = - 21

= - 21

= 15 - 21

Add and subtract (left to right)

15 - 21 : - 6

15 - 21

15 - 21 = - 6

= - 6

= - 6

= \frac{- 48}{- 6}

Simplify

\frac{- 48}{- 6} : 8

Apply the fraction rule:

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

= \frac{48}{6}

Divide the numbers:

\frac{48}{6} = 8

= 8

= 8

(- 15)^{2} - 17 (- 15) + 72

4 - 1 \frac{2}{3} \times 2 \frac{1}{5}

(- 5)^{2} + 9 (- 5) - 6

(+ 3) + (- 2) \times (+ 5)

3^{6} + 4^{6} + 5^{6}

What is (8(-3)-4(6))/(5(3)+3(-7)) ?
The solution to (8(-3)-4(6))/(5(3)+3(-7)) is 8