Solve 363div254*40-15.207

$$363 \div 254 \times 40-15.207$$

Evaluate

$$\frac{5328711}{127000}\approx 41.958354331$$

Solution Steps

Express \frac{363}{254}\times 40 as a single fraction.

$$\frac{363\times 40}{254}-15.207$$

Multiply 363 and 40 to get 14520.

$$\frac{14520}{254}-15.207$$

Reduce the fraction \frac{14520}{254} to lowest terms by extracting and canceling out 2.

$$\frac{7260}{127}-15.207$$

Convert decimal number 15.207 to fraction \frac{15207}{1000}.

$$\frac{7260}{127}-\frac{15207}{1000}$$

Least common multiple of 127 and 1000 is 127000. Convert \frac{7260}{127} and \frac{15207}{1000} to fractions with denominator 127000.

$$\frac{7260000}{127000}-\frac{1931289}{127000}$$

Since \frac{7260000}{127000} and \frac{1931289}{127000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7260000-1931289}{127000}$$

Subtract 1931289 from 7260000 to get 5328711.

$$\frac{5328711}{127000}$$

Factor

$$\frac{67 \cdot 8837 \cdot 3 ^ {2}}{127 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 41\frac{121711}{127000} = 41.95835433070866$$