What is the answer to (2/3)/x =5 ?

The answer to (2/3)/x =5 is x= 2/15

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(2/3)/x =5

\frac{\frac{2}{3}}{x} = 5

x = \frac{2}{15}

Decimal Notation

x = 0.13333 \dots

Solution steps

\frac{\frac{2}{3}}{x} = 5

Simplify

\frac{\frac{2}{3}}{x} : \frac{2}{3 x}

\frac{2}{3 x} = 5

Multiply both sides by

x

\frac{2}{3} = 5 x

Switch sides

5 x = \frac{2}{3}

Divide both sides by

5

x = \frac{2}{15}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{15}

y + 3 + \frac{1}{y + 3} = 1

x^{- 2} - 8 x^{- 1} + 15 = 0

\frac{4}{5 x + 8} = - 24

\frac{5}{3 t} = 3 - (\frac{6}{15 t})

\frac{1}{x} + \frac{1}{3 x} = 12