What is the answer to 3/2+1/3 = 1/x ?

The answer to 3/2+1/3 = 1/x is x= 6/11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/2+1/3 = 1/x

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

x = \frac{6}{11}

Decimal

x = 0.54545 \dots

Solution steps

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

Multiply both sides by

x

\frac{11}{6} x = 1

Multiply both sides by

6

11 x = 6

Divide both sides by

11

x = \frac{6}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6}{11}

\frac{4}{x ^{2}} + \frac{4}{x} = 3

\frac{2}{( x + 1 ) ^{2}} = 0

y, x = \frac{2 + y}{2 - y}

y, \frac{5}{x} - \frac{1}{y} = 4

y, x = \frac{y ^{2} - 9}{8 y ^{2}}