Solve 23/8-9/6+17/3

$$\frac{ 23 }{ 8 } - \frac{ 9 }{ 6 } + \frac{ 17 }{ 3 }$$

Evaluate

$$\frac{169}{24}\approx 7.041666667$$

Solution Steps

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{23}{8}-\frac{3}{2}+\frac{17}{3}$$

Least common multiple of 8 and 2 is 8. Convert \frac{23}{8} and \frac{3}{2} to fractions with denominator 8.

$$\frac{23}{8}-\frac{12}{8}+\frac{17}{3}$$

Since \frac{23}{8} and \frac{12}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-12}{8}+\frac{17}{3}$$

Subtract 12 from 23 to get 11.

$$\frac{11}{8}+\frac{17}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{17}{3} to fractions with denominator 24.

$$\frac{33}{24}+\frac{136}{24}$$

Since \frac{33}{24} and \frac{136}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+136}{24}$$

Add 33 and 136 to get 169.

$$\frac{169}{24}$$

Factor

$$\frac{13 ^ {2}}{2 ^ {3} \cdot 3} = 7\frac{1}{24} = 7.041666666666667$$