What is (3(-2)(3)-2(-1)(2))/(4(-2)(-1)) ?

The solution to (3(-2)(3)-2(-1)(2))/(4(-2)(-1)) is -1 3/4

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Popular >

(3(-2)(3)-2(-1)(2))/(4(-2)(-1))

Solution

\frac{3 ( - 2 ) ( 3 ) - 2 ( - 1 ) ( 2 )}{4 ( - 2 ) ( - 1 )}

Solution

- 1 \frac{3}{4}

Solution steps

\frac{3 ( - 2 ) ( 3 ) - 2 ( - 1 ) ( 2 )}{4 ( - 2 ) ( - 1 )}

Solve

3 (- 2) (3) - 2 (- 1) (2) : - 14

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (- 2) (3) : - 18

3 (- 2) (3)

Apply rule

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

3 (- 2) = - 3 \cdot 2 = - 6

= - 6 (3)

- 6 (3) = - 18

- 6 (3)

Apply rule:

(a) = a

(3) = 3

= - 6 \cdot 3

Multiply the numbers:

- 6 \cdot 3 = - 18

= - 18

= - 18

= - 18 - 2 (- 1) (2)

Multiply and divide (left to right)

2 (- 1) (2) : - 4

2 (- 1) (2)

Apply rule

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

2 (- 1) = - 2 \cdot 1 = - 2

= - 2 (2)

Apply rule

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

(- 2) (2) = - 2 \cdot 2 = - 4

= - 4

= - 18 - (- 4)

Add and subtract (left to right)

- 18 - (- 4) : - 14

- 18 - (- 4)

Apply rule

- (- a) = + a

- (- 4) = + 4

= - 18 + 4

- 18 + 4 = - 14

= - 14

= - 14

Solve

4 (- 2) (- 1) : 8

4 (- 2) (- 1) = 8

= 8

= \frac{- 14}{8}

Simplify

\frac{- 14}{8} : - 1 \frac{3}{4}

Apply the fraction rule:

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

= - \frac{14}{8}

Cancel the common factor:

2

= - \frac{7}{4}

Convert improper fractions to mixed numbers:

\frac{7}{4} = 1 \frac{3}{4}

\frac{7}{4} = 1

Remainder

3

\frac{7}{4}

Write the problem in long division format

4 \overline{∣ 7}

Divide

7

4

to get

1

Divide

7

4

to get

1

1 4 \overline{∣ 7}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 7} \underline{4}

Subtract

4

from

7

1 4 \overline{∣ 7} \underline{4} 3

1 4 \overline{∣ 7} \underline{4} 3

The solution for Long Division of

\frac{7}{4}

1

with remainder of

3

1 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{7}{4} = 1 \frac{3}{4}

= 1 \frac{3}{4}

= - 1 \frac{3}{4}

= - 1 \frac{3}{4}

Popular Examples

-2(-4)+1

- 2 (- 4) + 1

8-6\times 0

8 - 6 \times 0

5\div 1\div 2

5 \div 1 \div 2

27\times 3-40+5\times 3+6^3\div 9

27 \times 3 - 40 + 5 \times 3 + 6^{3} \div 9

-(0-3)^2-2

- (0 - 3)^{2} - 2

Frequently Asked Questions (FAQ)

What is (3(-2)(3)-2(-1)(2))/(4(-2)(-1)) ?
The solution to (3(-2)(3)-2(-1)(2))/(4(-2)(-1)) is -1 3/4