The solution to 5/3-2-2/3 is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/3-2-2/3

Solution

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

- 1

Solution steps

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

Follow the PEMDAS order of operations

Add and subtract (left to right)

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

\frac{5}{3} - 2

Convert element to fraction:

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

= - \frac{2 \cdot 3}{3} + \frac{5}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{- 2 \cdot 3 + 5}{3}

- 2 \cdot 3 + 5 = - 1

- 2 \cdot 3 + 5

Multiply the numbers:

2 \cdot 3 = 6

= - 6 + 5

Add/Subtract the numbers:

- 6 + 5 = - 1

= - 1

= \frac{- 1}{3}

Apply the fraction rule:

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

= - \frac{1}{3}

= - \frac{1}{3} - \frac{2}{3}

- \frac{1}{3} - \frac{2}{3} = - 1

- \frac{1}{3} - \frac{2}{3}

Apply rule

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

= \frac{- 1 - 2}{3}

Subtract the numbers:

- 1 - 2 = - 3

= \frac{- 3}{3}

Apply the fraction rule:

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

= - \frac{3}{3}

Apply rule

\frac{a}{a} = 1

= - 1

= - 1

4 - (\frac{5}{9} + \frac{44}{9})

(10 - 3) (10 - 8)

+ 20 - 5 (2 - 3) + 3 \times (- 7)

18 + \frac{1}{2} (3^{3} - (- 5))

2^{2} + 7