What is the answer to (2 1/4)/x = 9/24 ?

The answer to (2 1/4)/x = 9/24 is x=6

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(2 1/4)/x = 9/24

\frac{2 \frac{1}{4}}{x} = \frac{9}{24}

x = 6

Solution steps

\frac{2 \frac{1}{4}}{x} = \frac{9}{24}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

\frac{\frac{9}{4}}{x} = \frac{9}{24}

Cross multiply

216 = 36 x

Switch sides

36 x = 216

Divide both sides by

36

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

\frac{20}{x} = 5

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

\frac{5}{3} - \frac{1}{3 v - 3} = \frac{1}{v - 1}

\frac{5 x}{x - 1} + 7 = \frac{5}{x ^{2} - x}

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