Solve (1-0.89224)+0.89224/10

$$( 1 - 0.89224 ) + \frac { 0.89224 } { 10 }$$

Evaluate

$$0.196984$$

Solution Steps

Subtract 0.89224 from 1 to get 0.10776.

$$0.10776+\frac{0.89224}{10}$$

Expand \frac{0.89224}{10} by multiplying both numerator and the denominator by 100000.

$$0.10776+\frac{89224}{1000000}$$

Reduce the fraction \frac{89224}{1000000} to lowest terms by extracting and canceling out 8.

$$0.10776+\frac{11153}{125000}$$

Convert decimal number 0.10776 to fraction \frac{10776}{100000}. Reduce the fraction \frac{10776}{100000} to lowest terms by extracting and canceling out 8.

$$\frac{1347}{12500}+\frac{11153}{125000}$$

Least common multiple of 12500 and 125000 is 125000. Convert \frac{1347}{12500} and \frac{11153}{125000} to fractions with denominator 125000.

$$\frac{13470}{125000}+\frac{11153}{125000}$$

Since \frac{13470}{125000} and \frac{11153}{125000} have the same denominator, add them by adding their numerators.

$$\frac{13470+11153}{125000}$$

Add 13470 and 11153 to get 24623.

$$\frac{24623}{125000}$$

Factor

$$\frac{24623}{2 ^ {3} \cdot 5 ^ {6}} = 0.196984$$