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

The answer to 3 2/5 = 2/(4x) is x= 5/34

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3 2/5 = 2/(4x)

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

x = \frac{5}{34}

Decimal Notation

x = 0.14705 \dots

Solution steps

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

Convert mixed numbers to improper fractions:

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

\frac{17}{5} = \frac{2}{4 x}

Cross multiply

34 x = 5

Divide both sides by

34

x = \frac{5}{34}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{34}

0.2 = \frac{9 t}{t ^{2} + 4}

4.47 = \frac{0.01}{16 x ^{2}}

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

18 = \frac{1000}{0.707 h ( 3.5 )}

x, \frac{- 1}{x ^{2}} = 0