Solve 0.124-385260/8.314

$$0.124 - \frac { 385260 } { 8.314 }$$

Evaluate

$$-\frac{48157371133}{1039250}\approx -46338.58179745$$

Solution Steps

Expand \frac{385260}{8.314} by multiplying both numerator and the denominator by 1000.

$$0.124-\frac{385260000}{8314}$$

Reduce the fraction \frac{385260000}{8314} to lowest terms by extracting and canceling out 2.

$$0.124-\frac{192630000}{4157}$$

Convert decimal number 0.124 to fraction \frac{124}{1000}. Reduce the fraction \frac{124}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{31}{250}-\frac{192630000}{4157}$$

Least common multiple of 250 and 4157 is 1039250. Convert \frac{31}{250} and \frac{192630000}{4157} to fractions with denominator 1039250.

$$\frac{128867}{1039250}-\frac{48157500000}{1039250}$$

Since \frac{128867}{1039250} and \frac{48157500000}{1039250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{128867-48157500000}{1039250}$$

Subtract 48157500000 from 128867 to get -48157371133.

$$-\frac{48157371133}{1039250}$$

Factor

$$-\frac{48157371133}{1039250} = -46338\frac{604633}{1039250} = -46338.58179745008$$