What is (2\div 3/4)*6 ?

The solution to (2\div 3/4)*6 is 16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(2\div 3/4)*6

(2 \div \frac{3}{4}) \cdot 6

16

Solution steps

(2 \div \frac{3}{4}) \cdot 6

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \div \frac{3}{4}) : \frac{8}{3}

2 \div \frac{3}{4}

Multiply and divide (left to right)

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \div \frac{3}{4}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{2}{1} \cdot \frac{4}{3}

Multiply fractions:

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

= \frac{2 \cdot 4}{1 \cdot 3}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{8}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{8}{3}

= \frac{8}{3} \cdot 6

Multiply and divide (left to right)

\frac{8}{3} \cdot 6 : 16

\frac{8}{3} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{8}{3} \cdot \frac{6}{1}

Apply the fraction rule:

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

= \frac{8 \cdot 6}{3 \cdot 1}

Cancel

\frac{8 \cdot 6}{3 \cdot 1} : 16

\frac{8 \cdot 6}{3 \cdot 1}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{8 \cdot 6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 8 \cdot 2

Multiply the numbers:

8 \cdot 2 = 16

= 16

= 16

= 16

- 2 - 1 + 1

2 (- 1)^{2} - (- 1) - 1

+ 30 (9) - \frac{11}{2} (42)

- 1 - (1 + 1 - (1 - 1))

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