What is the answer to 3 2/5 = 3/(4x) ?

The answer to 3 2/5 = 3/(4x) is x= 15/68

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3 2/5 = 3/(4x)

3 \frac{2}{5} = \frac{3}{4 x}

x = \frac{15}{68}

Decimal Notation

x = 0.22058 \dots

Solution steps

3 \frac{2}{5} = \frac{3}{4 x}

Convert mixed numbers to improper fractions:

3 \frac{2}{5} = \frac{17}{5}

\frac{17}{5} = \frac{3}{4 x}

Cross multiply

68 x = 15

Divide both sides by

68

x = \frac{15}{68}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{68}

\frac{x ^{4}}{( x ^{2} - 1 ) ^{2}} = 1

0 = \frac{1}{x - 4} - 2

\frac{3}{x + 1} + \frac{4}{x + 2} = 2

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

\frac{8}{4} = \frac{12}{x}