Solve 37/8-15/12

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

Evaluate

$$\frac{59}{24}\approx 2.458333333$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+7}{8}-\frac{1\times 12+5}{12}$$

Add 24 and 7 to get 31.

$$\frac{31}{8}-\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{31}{8}-\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{31}{8}-\frac{17}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{31}{8} and \frac{17}{12} to fractions with denominator 24.

$$\frac{93}{24}-\frac{34}{24}$$

Since \frac{93}{24} and \frac{34}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{93-34}{24}$$

Subtract 34 from 93 to get 59.

$$\frac{59}{24}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 3} = 2\frac{11}{24} = 2.4583333333333335$$