Solve 7/2+8/3+9/2

$$\frac{ 7 }{ 2 } + \frac{ 8 }{ 3 } + \frac{ 9 }{ 2 }$$

Evaluate

$$\frac{32}{3}\approx 10.666666667$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{8}{3} to fractions with denominator 6.

$$\frac{21}{6}+\frac{16}{6}+\frac{9}{2}$$

Since \frac{21}{6} and \frac{16}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+16}{6}+\frac{9}{2}$$

Add 21 and 16 to get 37.

$$\frac{37}{6}+\frac{9}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{37}{6} and \frac{9}{2} to fractions with denominator 6.

$$\frac{37}{6}+\frac{27}{6}$$

Since \frac{37}{6} and \frac{27}{6} have the same denominator, add them by adding their numerators.

$$\frac{37+27}{6}$$

Add 37 and 27 to get 64.

$$\frac{64}{6}$$

Reduce the fraction \frac{64}{6} to lowest terms by extracting and canceling out 2.

$$\frac{32}{3}$$

Factor

$$\frac{2 ^ {5}}{3} = 10\frac{2}{3} = 10.666666666666666$$