Solve (0.091-0.0906)1/0.091*100

$$(0.091-0.0906) \frac{ 1 }{ 0.091 } \times 100$$

Evaluate

$$\frac{40}{91}\approx 0.43956044$$

Solution Steps

Subtract 0.0906 from 0.091 to get 0.0004.

$$0.0004\times \frac{1}{0.091}\times 100$$

Expand \frac{1}{0.091} by multiplying both numerator and the denominator by 1000.

$$0.0004\times \frac{1000}{91}\times 100$$

Convert decimal number 0.0004 to fraction \frac{4}{10000}. Reduce the fraction \frac{4}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2500}\times \frac{1000}{91}\times 100$$

Multiply \frac{1}{2500} times \frac{1000}{91} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1000}{2500\times 91}\times 100$$

Do the multiplications in the fraction \frac{1\times 1000}{2500\times 91}.

$$\frac{1000}{227500}\times 100$$

Reduce the fraction \frac{1000}{227500} to lowest terms by extracting and canceling out 500.

$$\frac{2}{455}\times 100$$

Express \frac{2}{455}\times 100 as a single fraction.

$$\frac{2\times 100}{455}$$

Multiply 2 and 100 to get 200.

$$\frac{200}{455}$$

Reduce the fraction \frac{200}{455} to lowest terms by extracting and canceling out 5.

$$\frac{40}{91}$$

Factor

$$\frac{5 \cdot 2 ^ {3}}{7 \cdot 13} = 0.43956043956043955$$