What is 2(-3)-3-(-5/2 (-3)+3) ?

The solution to 2(-3)-3-(-5/2 (-3)+3) is -39/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2(-3)-3-(-5/2 (-3)+3)

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

- \frac{39}{2}

Solution steps

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

Follow the PEMDAS order of operations

Calculate within parentheses

(- \frac{5}{2} (- 3) + 3) : \frac{21}{2}

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

Multiply and divide (left to right)

- \frac{5}{2} (- 3) : \frac{15}{2}

- \frac{5}{2} (- 3)

Apply rule

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

- \frac{5}{2} (- 3) = \frac{5}{2} \cdot 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{5}{2} \cdot \frac{3}{1}

Apply the fraction rule:

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

= \frac{5 \cdot 3}{2 \cdot 1}

Multiply the numbers:

5 \cdot 3 = 15

= \frac{15}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{15}{2}

= \frac{15}{2} + 3

Add and subtract (left to right)

\frac{15}{2} + 3 : \frac{21}{2}

\frac{15}{2} + 3

\frac{15}{2} + 3 = \frac{21}{2}

\frac{15}{2} + 3

Convert element to fraction:

3 = \frac{3 \cdot 2}{2}

= \frac{3 \cdot 2}{2} + \frac{15}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 2 + 15}{2}

3 \cdot 2 + 15 = 21

3 \cdot 2 + 15

Multiply the numbers:

3 \cdot 2 = 6

= 6 + 15

Add the numbers:

6 + 15 = 21

= 21

= \frac{21}{2}

= \frac{21}{2}

= \frac{21}{2}

= 2 (- 3) - 3 - \frac{21}{2}

Multiply and divide (left to right)

2 (- 3) : - 6

2 (- 3)

Apply rule

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

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

= - 6

= - 6 - 3 - \frac{21}{2}

Add and subtract (left to right)

- 6 - 3 - \frac{21}{2} : - \frac{39}{2}

- 6 - 3 - \frac{21}{2}

- 6 - 3 = - 9

= - 9 - \frac{21}{2}

- 9 - \frac{21}{2} = - \frac{39}{2}

= - \frac{39}{2}

= - \frac{39}{2}

3 + 3^{2}

(- 27) \div (- 9) \div (- 3)

- 2 \cdot 2^{2}

37 - 45 - 5 \times 8 - 6 \times 2^{3} \div 10 + 2 0^{2}

9/ 1^{2} + 36/1 + 32