What is ((1/5)^2)/((1/2)^3+5/3) ?

The solution to ((1/5)^2)/((1/2)^3+5/3) is 24/1075

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((1/5)^2)/((1/2)^3+5/3)

simplify

\frac{( \frac{1}{5} ) ^{2}}{( \frac{1}{2} ) ^{3} + \frac{5}{3}}

\frac{24}{1075}

Decimal Notation

0.02232 \dots

Solution steps

\frac{( \frac{1}{5} ) ^{2}}{( \frac{1}{2} ) ^{3} + \frac{5}{3}}

(\frac{1}{5})^{2} = \frac{1}{25}

= \frac{\frac{1}{25}}{( \frac{1}{2} ) ^{3} + \frac{5}{3}}

(\frac{1}{2})^{3} + \frac{5}{3} = \frac{43}{24}

= \frac{\frac{1}{25}}{\frac{43}{24}}

Apply the fraction rule:

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

= \frac{1 \cdot 24}{25 \cdot 43}

Multiply the numbers:

1 \cdot 24 = 24

= \frac{24}{25 \cdot 43}

Multiply the numbers:

25 \cdot 43 = 1075

= \frac{24}{1075}

ln (x^{2} (x + 2))

\frac{2}{2 - 3}

\frac{1}{- \frac{23}{6} + 8}

\frac{5}{9} \div \frac{2}{7}

(8 + 2 i) (7 - 3 i)

What is ((1/5)^2)/((1/2)^3+5/3) ?
The solution to ((1/5)^2)/((1/2)^3+5/3) is 24/1075