Solve 363*40div254-32.9

$$363 \times 40 \div 254-32.9$$

Evaluate

$$\frac{30817}{1270}\approx 24.265354331$$

Solution Steps

Multiply 363 and 40 to get 14520.

$$\frac{14520}{254}-32.9$$

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

$$\frac{7260}{127}-32.9$$

Convert decimal number 32.9 to fraction \frac{329}{10}.

$$\frac{7260}{127}-\frac{329}{10}$$

Least common multiple of 127 and 10 is 1270. Convert \frac{7260}{127} and \frac{329}{10} to fractions with denominator 1270.

$$\frac{72600}{1270}-\frac{41783}{1270}$$

Since \frac{72600}{1270} and \frac{41783}{1270} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72600-41783}{1270}$$

Subtract 41783 from 72600 to get 30817.

$$\frac{30817}{1270}$$

Factor

$$\frac{30817}{2 \cdot 5 \cdot 127} = 24\frac{337}{1270} = 24.26535433070866$$