en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 91.2(1-1/4)^{-1}

Solution

simplify

91.2 (1 - \frac{1}{4})^{- 1}

Solution

\frac{608}{5}

+1

Decimal

121.6

Solution steps

91.2 (1 - \frac{1}{4})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

(1 - \frac{1}{4})^{- 1} = \frac{1}{1 - \frac{1}{4}}

= 91.2 \cdot \frac{1}{1 - \frac{1}{4}}

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

= 91.2 \cdot \frac{4}{3}

91.2 = \frac{456}{5}

= \frac{456}{5} \cdot \frac{4}{3}

\frac{456}{5} \cdot \frac{4}{3} = \frac{608}{5}

= \frac{608}{5}

Popular Examples

simplify (sqrt(x+2))/(sqrt(x+3))simplify

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

simplify (sqrt(-)18)(sqrt(-)50)simplify

(- 18) (- 50)

simplify sqrt(\sqrt{17)}simplify

17

simplify (sqrt(x+h+1))(sqrt(x+h))simplify

(x + h + 1) (x + h)

simplify 74.4*10^{-6}simplify

74.4 \cdot 1 0^{- 6}

Frequently Asked Questions (FAQ)

What is 91.2(1-1/4)^{-1} ?
The solution to 91.2(1-1/4)^{-1} is 608/5