Solve 363div254*40-15207

$$363 \div 254 \times 40-15207$$

Evaluate

$$-\frac{1924029}{127}\approx -15149.834645669$$

Solution Steps

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

$$\frac{363\times 40}{254}-15207$$

Multiply 363 and 40 to get 14520.

$$\frac{14520}{254}-15207$$

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

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

Convert 15207 to fraction \frac{1931289}{127}.

$$\frac{7260}{127}-\frac{1931289}{127}$$

Since \frac{7260}{127} and \frac{1931289}{127} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7260-1931289}{127}$$

Subtract 1931289 from 7260 to get -1924029.

$$-\frac{1924029}{127}$$

Factor

$$-\frac{1924029}{127} = -15149\frac{106}{127} = -15149.83464566929$$