What is 2/3 (6-3/2) ?

The solution to 2/3 (6-3/2) is 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/3 (6-3/2)

\frac{2}{3} (6 - \frac{3}{2})

3

Solution steps

\frac{2}{3} (6 - \frac{3}{2})

Follow the PEMDAS order of operations

Calculate within parentheses

(6 - \frac{3}{2}) : \frac{9}{2}

6 - \frac{3}{2}

6 - \frac{3}{2} = \frac{9}{2}

6 - \frac{3}{2}

Convert element to fraction:

6 = \frac{6 \cdot 2}{2}

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

Since the denominators are equal, combine the fractions:

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

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

6 \cdot 2 - 3 = 9

6 \cdot 2 - 3

Multiply the numbers:

6 \cdot 2 = 12

= 12 - 3

Subtract the numbers:

12 - 3 = 9

= 9

= \frac{9}{2}

= \frac{9}{2}

= \frac{2}{3} \cdot \frac{9}{2}

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{9}{2} : 3

\frac{2}{3} \cdot \frac{9}{2}

Cross-cancel common factor:

2

= \frac{9}{3}

Divide the numbers:

\frac{9}{3} = 3

= 3

= 3

4^{2} + 5^{2}

5^{2} - 2^{2}

6^{2} + 7^{2}

5^{2} + 6^{2}

- 1 + 0 + 2 + 6 + 14