Solve 0.87-5.8225*0.113/10

$$0.87-5.8225 \times \frac{ 0.113 }{ 10 }$$

Evaluate

$$0.80420575$$

Solution Steps

Expand \frac{0.113}{10} by multiplying both numerator and the denominator by 1000.

$$0.87-5.8225\times \frac{113}{10000}$$

Convert decimal number 5.8225 to fraction \frac{58225}{10000}. Reduce the fraction \frac{58225}{10000} to lowest terms by extracting and canceling out 25.

$$0.87-\frac{2329}{400}\times \frac{113}{10000}$$

Multiply \frac{2329}{400} times \frac{113}{10000} by multiplying numerator times numerator and denominator times denominator.

$$0.87-\frac{2329\times 113}{400\times 10000}$$

Do the multiplications in the fraction \frac{2329\times 113}{400\times 10000}.

$$0.87-\frac{263177}{4000000}$$

Convert decimal number 0.87 to fraction \frac{87}{100}.

$$\frac{87}{100}-\frac{263177}{4000000}$$

Least common multiple of 100 and 4000000 is 4000000. Convert \frac{87}{100} and \frac{263177}{4000000} to fractions with denominator 4000000.

$$\frac{3480000}{4000000}-\frac{263177}{4000000}$$

Since \frac{3480000}{4000000} and \frac{263177}{4000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3480000-263177}{4000000}$$

Subtract 263177 from 3480000 to get 3216823.

$$\frac{3216823}{4000000}$$

Factor

$$\frac{457 \cdot 7039}{2 ^ {8} \cdot 5 ^ {6}} = 0.80420575$$