What is the answer to 4/x = 3/400 ?

The answer to 4/x = 3/400 is x= 1600/3

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4/x = 3/400

\frac{4}{x} = \frac{3}{400}

x = \frac{1600}{3}

Decimal Notation

x = 533.33333 \dots

Solution steps

\frac{4}{x} = \frac{3}{400}

Cross multiply

1600 = x \cdot 3

Switch sides

x \cdot 3 = 1600

Divide both sides by

3

x = \frac{1600}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1600}{3}

\frac{1}{x ^{2}} = 2

\frac{1}{x ^{2}} = 4

\frac{1}{x ^{2}} = 8

\frac{1}{x ^{2}} = 9

4 x^{- 4} - 7 x^{- 2} - 36 = 0