What is the answer to (x-55)/x = 31/100 ?

The answer to (x-55)/x = 31/100 is x= 5500/69

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(x-55)/x = 31/100

\frac{x - 55}{x} = \frac{31}{100}

x = \frac{5500}{69}

Decimal Notation

x = 79.71014 \dots

Solution steps

\frac{x - 55}{x} = \frac{31}{100}

Cross multiply

100 x - 5500 = x \cdot 31

Move

5500

to the right side

100 x = x \cdot 31 + 5500

Move

x 31

to the left side

69 x = 5500

Divide both sides by

69

x = \frac{5500}{69}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5500}{69}

\frac{2 x ^{2}}{( x + 1 ) - x + 1} = 0

\frac{7}{4 x - 3} = \frac{2}{x + 3}

k, r = \frac{k}{k - 7}

- 6 + \frac{x}{x - 6} = \frac{1}{x - 6}

\frac{5}{p} + 5 = - 10

What is the answer to (x-55)/x = 31/100 ?
The answer to (x-55)/x = 31/100 is x= 5500/69
Solve for x: (x-55)/x = 31/100
The solution is x= 5500/69