Solve 3/4+5/8+6/9

$$\frac{ 3 }{ 4 } + \frac{ 5 }{ 8 } + \frac{ 6 }{ 9 }$$

Evaluate

$$\frac{49}{24}\approx 2.041666667$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{6}{8}+\frac{5}{8}+\frac{6}{9}$$

Since \frac{6}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{8}+\frac{6}{9}$$

Add 6 and 5 to get 11.

$$\frac{11}{8}+\frac{6}{9}$$

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

$$\frac{11}{8}+\frac{2}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{2}{3} to fractions with denominator 24.

$$\frac{33}{24}+\frac{16}{24}$$

Since \frac{33}{24} and \frac{16}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+16}{24}$$

Add 33 and 16 to get 49.

$$\frac{49}{24}$$

Factor

$$\frac{7 ^ {2}}{2 ^ {3} \cdot 3} = 2\frac{1}{24} = 2.0416666666666665$$