What is 2/5 \times (3/4 \times 2) ?

The solution to 2/5 \times (3/4 \times 2) is 3/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2/5 \times (3/4 \times 2)

\frac{2}{5} \cdot (\frac{3}{4} \cdot 2)

\frac{3}{5}

Solution steps

\frac{2}{5} (\frac{3}{4} \cdot 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{4} \cdot 2) : \frac{3}{2}

\frac{3}{4} \cdot 2

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

\frac{3}{4} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel common factor:

2

2, 4

Greatest Common Divisor (GCD)

Prime factorization of

2 : 2

2

2

is a prime number, therefore no factorization is possible

= 2

Prime factorization of

4 : 2 \cdot 2

4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2

The prime factors common to

2, 4

are

= 2

= \frac{3}{2}

= \frac{3}{2}

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

Multiply and divide (left to right)

\frac{2}{5} \cdot \frac{3}{2} : \frac{3}{5}

\frac{2}{5} \cdot \frac{3}{2}

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

= \frac{3}{5}

= \frac{3}{5}

- 36 \times (- 1) \div 3 + 25 \div (1 - 4)

(4 \frac{4}{5} - 1 \frac{3}{4}) \frac{7}{10}

3 \times 5 + 4

2^{3} \times (- 3)

4 \div 4^{2}

What is 2/5 \times (3/4 \times 2) ?
The solution to 2/5 \times (3/4 \times 2) is 3/5