What is (2 1/3+8 2/3)\times 15 ?

The solution to (2 1/3+8 2/3)\times 15 is 165

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2 1/3+8 2/3)\times 15

(2 \frac{1}{3} + 8 \frac{2}{3}) \cdot 15

165

Solution steps

(2 \frac{1}{3} + 8 \frac{2}{3}) \cdot 15

Convert mixed numbers to improper fractions:

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

2 \frac{1}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{7}{3}

= (\frac{7}{3} + 8 \frac{2}{3}) \cdot 15

Convert mixed numbers to improper fractions:

8 \frac{2}{3} = \frac{26}{3}

8 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

8 \frac{2}{3} = \frac{8 \cdot 3 + 2}{3}

= \frac{26}{3}

= (\frac{7}{3} + \frac{26}{3}) \cdot 15

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{7}{3} + \frac{26}{3}) : 11

\frac{7}{3} + \frac{26}{3}

\frac{7}{3} + \frac{26}{3} = 11

\frac{7}{3} + \frac{26}{3}

Apply rule

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

= \frac{7 + 26}{3}

Add the numbers:

7 + 26 = 33

= \frac{33}{3}

Divide the numbers:

\frac{33}{3} = 11

= 11

= 11

= 11 \cdot 15

Multiply and divide (left to right)

11 \cdot 15 : 165

11 \cdot 15

11 \cdot 15 = 165

= 165

= 165

5 \times 2 \div 2 + 5

1 - 2 + 1 - 2 + 1 - 2

4 (1)^{3} - 6 (1)^{2}

- 3^{2} + 4 (- 3) + 3

- 3^{2} + 4 (- 3) + 1