What is the answer to 5/x = 4/9 ?

The answer to 5/x = 4/9 is x= 45/4

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5/x = 4/9

\frac{5}{x} = \frac{4}{9}

x = \frac{45}{4}

Decimal Notation

x = 11.25

Solution steps

\frac{5}{x} = \frac{4}{9}

Cross multiply

45 = x \cdot 4

Switch sides

x \cdot 4 = 45

Divide both sides by

4

x = \frac{45}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{45}{4}

\frac{n + 4}{4 n} = \frac{6}{4}

\frac{12}{n + 3} = \frac{3}{2}

\frac{2 x}{( x + 1 ) ( x - 1 )} = x

0 = \frac{2 x}{x + 2}

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