What is 4(9\times 4/3) 1/2 ?

The solution to 4(9\times 4/3) 1/2 is 24

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4(9\times 4/3) 1/2

4 (9 \cdot \frac{4}{3}) \frac{1}{2}

24

Solution steps

4 (9 \cdot \frac{4}{3}) \frac{1}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(9 \cdot \frac{4}{3}) : 12

9 \cdot \frac{4}{3}

9 \cdot \frac{4}{3} = 12

9 \cdot \frac{4}{3}

Convert element to fraction:

9 = \frac{9}{1}

= \frac{9}{1} \cdot \frac{4}{3}

Cross-cancel common factor:

3

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

Multiply fractions:

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

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

Multiply the numbers:

3 \cdot 4 = 12

= \frac{12}{1 \cdot 1}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{12}{1}

Apply rule

\frac{a}{1} = a

= 12

= 12

= 4 \cdot 12 \cdot \frac{1}{2}

Multiply and divide (left to right)

4 \cdot 12 \cdot \frac{1}{2} : 24

4 \cdot 12 \cdot \frac{1}{2}

4 \cdot 12 = 48

= 48 \cdot \frac{1}{2}

48 \frac{1}{2} = 24

48 \cdot \frac{1}{2}

Convert element to fraction:

48 = \frac{48}{1}

= \frac{48}{1} \cdot \frac{1}{2}

Apply the fraction rule:

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

= \frac{48 \cdot 1}{1 \cdot 2}

\frac{48 \cdot 1}{1 \cdot 2} = 24

\frac{48 \cdot 1}{1 \cdot 2}

\frac{48 \cdot 1}{1 \cdot 2} = \frac{48}{2}

\frac{48 \cdot 1}{1 \cdot 2}

Multiply the numbers:

48 \cdot 1 = 48

= \frac{48}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{48}{2}

= \frac{48}{2}

Divide the numbers:

\frac{48}{2} = 24

= 24

= 24

= 24

= 24

27 \div 9 + 51 - 3 \times 10 \div 6 - 45

12 \times 1 0^{2}

4 (- 2) \cdot 4 (- 2) + 5

\frac{5}{8} (- 6) + 4

\frac{2}{3} - (2 \div \frac{4}{5} + \frac{1}{2})