Solve (5/12-37/2)

$$( \frac { 5 } { 12 } - 3 \frac { 7 } { 2 } )$$

Evaluate

$$-\frac{73}{12}\approx -6.083333333$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{5}{12}-\frac{6+7}{2}$$

Add 6 and 7 to get 13.

$$\frac{5}{12}-\frac{13}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{5}{12} and \frac{13}{2} to fractions with denominator 12.

$$\frac{5}{12}-\frac{78}{12}$$

Since \frac{5}{12} and \frac{78}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-78}{12}$$

Subtract 78 from 5 to get -73.

$$-\frac{73}{12}$$

Factor

$$-\frac{73}{12} = -6\frac{1}{12} = -6.083333333333333$$