Solve 9800(3/2-1/3)

$$9800( \frac{ 3 }{ 2 } - \frac{ 1 }{ 3 } )$$

Evaluate

$$\frac{34300}{3}\approx 11433.333333333$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{1}{3} to fractions with denominator 6.

$$9800\left(\frac{9}{6}-\frac{2}{6}\right)$$

Since \frac{9}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$9800\times \frac{9-2}{6}$$

Subtract 2 from 9 to get 7.

$$9800\times \frac{7}{6}$$

Express 9800\times \frac{7}{6} as a single fraction.

$$\frac{9800\times 7}{6}$$

Multiply 9800 and 7 to get 68600.

$$\frac{68600}{6}$$

Reduce the fraction \frac{68600}{6} to lowest terms by extracting and canceling out 2.

$$\frac{34300}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 7 ^ {3}}{3} = 11433\frac{1}{3} = 11433.333333333334$$