Solve 1/8+3/12+2/9

$$\frac{ 1 }{ 8 } + \frac{ 3 }{ 12 } + \frac{ 2 }{ 9 }$$

Evaluate

$$\frac{43}{72}\approx 0.597222222$$

Solution Steps

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{8}+\frac{1}{4}+\frac{2}{9}$$

Least common multiple of 8 and 4 is 8. Convert \frac{1}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{1}{8}+\frac{2}{8}+\frac{2}{9}$$

Since \frac{1}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{8}+\frac{2}{9}$$

Add 1 and 2 to get 3.

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

Least common multiple of 8 and 9 is 72. Convert \frac{3}{8} and \frac{2}{9} to fractions with denominator 72.

$$\frac{27}{72}+\frac{16}{72}$$

Since \frac{27}{72} and \frac{16}{72} have the same denominator, add them by adding their numerators.

$$\frac{27+16}{72}$$

Add 27 and 16 to get 43.

$$\frac{43}{72}$$

Factor

$$\frac{43}{2 ^ {3} \cdot 3 ^ {2}} = 0.5972222222222222$$