Solve 23/8-31/12

$$2 \frac { 3 } { 8 } - 3 \frac { 1 } { 12 }$$

Evaluate

$$-\frac{17}{24}\approx -0.708333333$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+3}{8}-\frac{3\times 12+1}{12}$$

Add 16 and 3 to get 19.

$$\frac{19}{8}-\frac{3\times 12+1}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{19}{8}-\frac{36+1}{12}$$

Add 36 and 1 to get 37.

$$\frac{19}{8}-\frac{37}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{19}{8} and \frac{37}{12} to fractions with denominator 24.

$$\frac{57}{24}-\frac{74}{24}$$

Since \frac{57}{24} and \frac{74}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{57-74}{24}$$

Subtract 74 from 57 to get -17.

$$-\frac{17}{24}$$

Factor

$$-\frac{17}{24} = -0.7083333333333334$$