Solve 1064.71-(0.0174)*105/0.244

$$1064.71 - \frac { ( 0.0174 ) \cdot 105 } { 0.244 }$$

Evaluate

$$\frac{1612264}{1525}\approx 1057.222295082$$

Solution Steps

Multiply 0.0174 and 105 to get 1.827.

$$1064.71-\frac{1.827}{0.244}$$

Expand \frac{1.827}{0.244} by multiplying both numerator and the denominator by 1000.

$$1064.71-\frac{1827}{244}$$

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

$$\frac{106471}{100}-\frac{1827}{244}$$

Least common multiple of 100 and 244 is 6100. Convert \frac{106471}{100} and \frac{1827}{244} to fractions with denominator 6100.

$$\frac{6494731}{6100}-\frac{45675}{6100}$$

Since \frac{6494731}{6100} and \frac{45675}{6100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6494731-45675}{6100}$$

Subtract 45675 from 6494731 to get 6449056.

$$\frac{6449056}{6100}$$

Reduce the fraction \frac{6449056}{6100} to lowest terms by extracting and canceling out 4.

$$\frac{1612264}{1525}$$

Factor

$$\frac{19 \cdot 10607 \cdot 2 ^ {3}}{61 \cdot 5 ^ {2}} = 1057\frac{339}{1525} = 1057.222295081967$$