Solve 363div254*40-15.2

$$363 \div 254 \times 40-15.2$$

Evaluate

$$\frac{26648}{635}\approx 41.965354331$$

Solution Steps

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

$$\frac{363\times 40}{254}-15.2$$

Multiply 363 and 40 to get 14520.

$$\frac{14520}{254}-15.2$$

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

$$\frac{7260}{127}-15.2$$

Convert decimal number 15.2 to fraction \frac{152}{10}. Reduce the fraction \frac{152}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7260}{127}-\frac{76}{5}$$

Least common multiple of 127 and 5 is 635. Convert \frac{7260}{127} and \frac{76}{5} to fractions with denominator 635.

$$\frac{36300}{635}-\frac{9652}{635}$$

Since \frac{36300}{635} and \frac{9652}{635} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36300-9652}{635}$$

Subtract 9652 from 36300 to get 26648.

$$\frac{26648}{635}$$

Factor

$$\frac{3331 \cdot 2 ^ {3}}{5 \cdot 127} = 41\frac{613}{635} = 41.965354330708664$$