What is (2^2(21-12))/(3(-2)-(-5)(-3)) ?

The solution to (2^2(21-12))/(3(-2)-(-5)(-3)) is -1 5/7

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(2^2(21-12))/(3(-2)-(-5)(-3))

Solution

\frac{2 ^{2} ( 21 - 12 )}{3 ( - 2 ) - ( - 5 ) ( - 3 )}

Solution

- 1 \frac{5}{7}

Solution steps

\frac{2 ^{2} ( 21 - 12 )}{3 ( - 2 ) - ( - 5 ) ( - 3 )}

Solve

2^{2} (21 - 12) : 36

Follow the PEMDAS order of operations

Calculate within parentheses

(21 - 12) : 9

21 - 12

21 - 12 = 9

= 9

= 2^{2} \cdot 9

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 4 \cdot 9

Multiply and divide (left to right)

4 \cdot 9 : 36

4 \cdot 9

4 \cdot 9 = 36

= 36

= 36

Solve

3 (- 2) - (- 5) (- 3) : - 21

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (- 2) : - 6

3 (- 2)

Apply rule

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

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

= - 6

= - 6 - (- 5) (- 3)

Multiply and divide (left to right)

(- 5) (- 3) : 15

(- 5) (- 3)

Apply rule

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

(- 5) (- 3) = 5 \cdot 3 = 15

= 15

= - 6 - 15

Add and subtract (left to right)

- 6 - 15 : - 21

- 6 - 15

- 6 - 15 = - 21

= - 21

= - 21

= \frac{36}{- 21}

Simplify

\frac{36}{- 21} : - 1 \frac{5}{7}

Apply the fraction rule:

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

= - \frac{36}{21}

Cancel the common factor:

3

= - \frac{12}{7}

Convert improper fractions to mixed numbers:

\frac{12}{7} = 1 \frac{5}{7}

\frac{12}{7} = 1

Remainder

5

\frac{12}{7}

Write the problem in long division format

7 \overline{∣ 12}

Divide

12

7

to get

1

Divide

12

7

to get

1

1 7 \overline{∣ 12}

Multiply the quotient digit

(1)

by the divisor

7

1 7 \overline{∣ 12} \underline{7}

Subtract

7

from

12

1 7 \overline{∣ 12} \underline{7} 5

1 7 \overline{∣ 12} \underline{7} 5

The solution for Long Division of

\frac{12}{7}

1

with remainder of

5

1 Remainder 5

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{12}{7} = 1 \frac{5}{7}

= 1 \frac{5}{7}

= - 1 \frac{5}{7}

= - 1 \frac{5}{7}

Popular Examples

5(-2)(-1)-3(-8)+8(-1)

5 (- 2) (- 1) - 3 (- 8) + 8 (- 1)

+9-8-5+(-2+9)

+ 9 - 8 - 5 + (- 2 + 9)

3+(5-16)-11+4

3 + (5 - 16) - 11 + 4

(3)^2+2(3)-8

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

3/4 (3)+1 1/2

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

Frequently Asked Questions (FAQ)

What is (2^2(21-12))/(3(-2)-(-5)(-3)) ?
The solution to (2^2(21-12))/(3(-2)-(-5)(-3)) is -1 5/7