What is the answer to (x-26)/x = 31/100 ?

The answer to (x-26)/x = 31/100 is x= 2600/69

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(x-26)/x = 31/100

\frac{x - 26}{x} = \frac{31}{100}

x = \frac{2600}{69}

Decimal Notation

x = 37.68115 \dots

Solution steps

\frac{x - 26}{x} = \frac{31}{100}

Cross multiply

100 x - 2600 = x \cdot 31

Move

2600

to the right side

100 x = x \cdot 31 + 2600

Move

x 31

to the left side

69 x = 2600

Divide both sides by

69

x = \frac{2600}{69}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2600}{69}

\frac{1}{z} - 2 \cdot z = 1

\frac{2}{c + 3} - 3 = \frac{7}{c + 3}

\frac{x + 1}{x - 8} = 10

1.2 = \frac{0.091}{120 \cdot x}

\frac{4}{x} = \frac{3}{2}

What is the answer to (x-26)/x = 31/100 ?
The answer to (x-26)/x = 31/100 is x= 2600/69
Solve for x: (x-26)/x = 31/100
The solution is x= 2600/69