Solve 39.1-363div254*38

$$39.1-363 \div 254 \times 38$$

Evaluate

$$-\frac{19313}{1270}\approx -15.207086614$$

Solution Steps

Express \frac{363}{254}\times 38 as a single fraction.

$$39.1-\frac{363\times 38}{254}$$

Multiply 363 and 38 to get 13794.

$$39.1-\frac{13794}{254}$$

Reduce the fraction \frac{13794}{254} to lowest terms by extracting and canceling out 2.

$$39.1-\frac{6897}{127}$$

Convert decimal number 39.1 to fraction \frac{391}{10}.

$$\frac{391}{10}-\frac{6897}{127}$$

Least common multiple of 10 and 127 is 1270. Convert \frac{391}{10} and \frac{6897}{127} to fractions with denominator 1270.

$$\frac{49657}{1270}-\frac{68970}{1270}$$

Since \frac{49657}{1270} and \frac{68970}{1270} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49657-68970}{1270}$$

Subtract 68970 from 49657 to get -19313.

$$-\frac{19313}{1270}$$

Factor

$$-\frac{19313}{1270} = -15\frac{263}{1270} = -15.207086614173228$$