What is the answer to (x-26)/x = 33/100 ?

The answer to (x-26)/x = 33/100 is x= 2600/67

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(x-26)/x = 33/100

\frac{x - 26}{x} = \frac{33}{100}

x = \frac{2600}{67}

Decimal Notation

x = 38.80597 \dots

Solution steps

\frac{x - 26}{x} = \frac{33}{100}

Cross multiply

100 x - 2600 = x \cdot 33

Move

2600

to the right side

100 x = x \cdot 33 + 2600

Move

x 33

to the left side

67 x = 2600

Divide both sides by

67

x = \frac{2600}{67}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2600}{67}

\frac{5}{9 ( 32 x - 32 ) + 273} = 273 x

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

\frac{32}{3 x} = \frac{2}{9}

\frac{c}{x} = d + r, x

\frac{8}{x - 6} = \frac{5}{x + 2}

What is the answer to (x-26)/x = 33/100 ?
The answer to (x-26)/x = 33/100 is x= 2600/67
Solve for x: (x-26)/x = 33/100
The solution is x= 2600/67