What is the answer to 5/x =0.75 ?

The answer to 5/x =0.75 is x= 20/3

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5/x =0.75

\frac{5}{x} = 0.75

x = \frac{20}{3}

Decimal Notation

x = 6.66666 \dots

Solution steps

\frac{5}{x} = 0.75

Multiply both sides by

x

5 = 0.75 x

Switch sides

0.75 x = 5

Multiply both sides by

100

75 x = 500

Divide both sides by

75

x = \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{20}{3}

\frac{5}{x} = 0.82

x, m = \frac{y - a}{x - b}

x^{- 2} = \frac{64}{81}

\frac{13}{4 y} = \frac{35}{8}

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