What is ((8k+12)/9)/(k/3+1/2) ?

The solution to ((8k+12)/9)/(k/3+1/2) is 8/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((8k+12)/9)/(k/3+1/2)

simplify

\frac{\frac{8 k + 12}{9}}{\frac{k}{3} + \frac{1}{2}}

\frac{8}{3}

Decimal Notation

2.66666 \dots

Solution steps

\frac{\frac{8 k + 12}{9}}{\frac{k}{3} + \frac{1}{2}}

Apply the fraction rule:

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

= \frac{8 k + 12}{9 ( \frac{k}{3} + \frac{1}{2} )}

Simplify

9 (\frac{k}{3} + \frac{1}{2}) : \frac{3 ( 2 k + 3 )}{2}

= \frac{8 k + 12}{\frac{3 ( 2 k + 3 )}{2}}

Apply the fraction rule:

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

= \frac{( 8 k + 12 ) \cdot 2}{3 ( 2 k + 3 )}

Cancel

\frac{( 8 k + 12 ) \cdot 2}{3 ( 2 k + 3 )} : \frac{8}{3}

= \frac{8}{3}

\frac{p}{3} = 2

- 36 n^{2} + 48 n - 15

6 (2 x - 4)^{2} - 24 = 0

5 x^{2} - 4 x = 6

m^{2} - 9 m + 18