What is the answer to 2/x = 3/8 ?

The answer to 2/x = 3/8 is x= 16/3

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2/x = 3/8

\frac{2}{x} = \frac{3}{8}

x = \frac{16}{3}

Decimal Notation

x = 5.33333 \dots

Solution steps

\frac{2}{x} = \frac{3}{8}

Cross multiply

16 = x \cdot 3

Switch sides

x \cdot 3 = 16

Divide both sides by

3

x = \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{16}{3}

t, \frac{r + 4}{t + 10} = 2

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

\frac{3}{5 - x} = \frac{2}{x - 1}

W, P = \frac{100 N}{W}

\frac{( 5 y - 6 ) ( 4 y - 8 )}{5 y - 2} = 4 y + 5