What is (2/3+1/4*2/5-3/4)/(5/2) ?

The solution to (2/3+1/4*2/5-3/4)/(5/2) is 1/150

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2/3+1/4*2/5-3/4)/(5/2)

simplify

\frac{\frac{2}{3} + \frac{1}{4} \cdot \frac{2}{5} - \frac{3}{4}}{\frac{5}{2}}

\frac{1}{150}

Decimal Notation

0.00666 \dots

Solution steps

\frac{\frac{2}{3} + \frac{1}{4} \cdot \frac{2}{5} - \frac{3}{4}}{\frac{5}{2}}

Apply the fraction rule:

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

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

Simplify

(\frac{2}{3} + \frac{1}{4} \cdot \frac{2}{5} - \frac{3}{4}) \cdot 2 : \frac{1}{30}

= \frac{\frac{1}{30}}{5}

Apply the fraction rule:

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

= \frac{1}{30 \cdot 5}

Multiply the numbers:

30 \cdot 5 = 150

= \frac{1}{150}

(a + 11) - (a + 21)

\frac{1}{\frac{1}{x + 2} + \frac{1}{x + 3}}

z^{- 1}

11 \cdot 4

8 s^{2} + 9 s + 1

What is (2/3+1/4*2/5-3/4)/(5/2) ?
The solution to (2/3+1/4*2/5-3/4)/(5/2) is 1/150