Solve 1064.71-0.0174*1059/0.244

$$1064.71- \frac{ 0.0174 \cdot 1059 }{ 0.244 }$$

Evaluate

$$\frac{3017033}{3050}\approx 989.191147541$$

Solution Steps

Multiply 0.0174 and 1059 to get 18.4266.

$$1064.71-\frac{18.4266}{0.244}$$

Expand \frac{18.4266}{0.244} by multiplying both numerator and the denominator by 10000.

$$1064.71-\frac{184266}{2440}$$

Reduce the fraction \frac{184266}{2440} to lowest terms by extracting and canceling out 2.

$$1064.71-\frac{92133}{1220}$$

Convert decimal number 1064.71 to fraction \frac{106471}{100}.

$$\frac{106471}{100}-\frac{92133}{1220}$$

Least common multiple of 100 and 1220 is 6100. Convert \frac{106471}{100} and \frac{92133}{1220} to fractions with denominator 6100.

$$\frac{6494731}{6100}-\frac{460665}{6100}$$

Since \frac{6494731}{6100} and \frac{460665}{6100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6494731-460665}{6100}$$

Subtract 460665 from 6494731 to get 6034066.

$$\frac{6034066}{6100}$$

Reduce the fraction \frac{6034066}{6100} to lowest terms by extracting and canceling out 2.

$$\frac{3017033}{3050}$$

Factor

$$\frac{3017033}{2 \cdot 61 \cdot 5 ^ {2}} = 989\frac{583}{3050} = 989.1911475409836$$