Solve 37/12-5/8+1/6

$$3 \frac { 7 } { 12 } - \frac{ 5 }{ 8 } + \frac{ 1 }{ 6 }$$

Evaluate

$$\frac{25}{8}=3.125$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+7}{12}-\frac{5}{8}+\frac{1}{6}$$

Add 36 and 7 to get 43.

$$\frac{43}{12}-\frac{5}{8}+\frac{1}{6}$$

Least common multiple of 12 and 8 is 24. Convert \frac{43}{12} and \frac{5}{8} to fractions with denominator 24.

$$\frac{86}{24}-\frac{15}{24}+\frac{1}{6}$$

Since \frac{86}{24} and \frac{15}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{86-15}{24}+\frac{1}{6}$$

Subtract 15 from 86 to get 71.

$$\frac{71}{24}+\frac{1}{6}$$

Least common multiple of 24 and 6 is 24. Convert \frac{71}{24} and \frac{1}{6} to fractions with denominator 24.

$$\frac{71}{24}+\frac{4}{24}$$

Since \frac{71}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.

$$\frac{71+4}{24}$$

Add 71 and 4 to get 75.

$$\frac{75}{24}$$

Reduce the fraction \frac{75}{24} to lowest terms by extracting and canceling out 3.

$$\frac{25}{8}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3}} = 3\frac{1}{8} = 3.125$$