Solve 49/12-1/6-9/32

$$\frac{ 49 }{ 12 } - \frac{ 1 }{ 6 } - \frac{ 9 }{ 32 }$$

Evaluate

$$\frac{349}{96}\approx 3.635416667$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{49}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{49}{12}-\frac{2}{12}-\frac{9}{32}$$

Since \frac{49}{12} and \frac{2}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-2}{12}-\frac{9}{32}$$

Subtract 2 from 49 to get 47.

$$\frac{47}{12}-\frac{9}{32}$$

Least common multiple of 12 and 32 is 96. Convert \frac{47}{12} and \frac{9}{32} to fractions with denominator 96.

$$\frac{376}{96}-\frac{27}{96}$$

Since \frac{376}{96} and \frac{27}{96} have the same denominator, subtract them by subtracting their numerators.

$$\frac{376-27}{96}$$

Subtract 27 from 376 to get 349.

$$\frac{349}{96}$$

Factor

$$\frac{349}{2 ^ {5} \cdot 3} = 3\frac{61}{96} = 3.6354166666666665$$