Solve +(-63/4)-(+21/6)=

$$+ ( - 6 \frac { 3 } { 4 } ) - ( + 2 \frac { 1 } { 6 } ) =$$

Evaluate

$$-\frac{107}{12}\approx -8.916666667$$

Solution Steps

Multiply 6 and 4 to get 24.

$$-\frac{24+3}{4}-\frac{2\times 6+1}{6}$$

Add 24 and 3 to get 27.

$$-\frac{27}{4}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{27}{4}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$-\frac{27}{4}-\frac{13}{6}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{27}{4} and \frac{13}{6} to fractions with denominator 12.

$$-\frac{81}{12}-\frac{26}{12}$$

Since -\frac{81}{12} and \frac{26}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-81-26}{12}$$

Subtract 26 from -81 to get -107.

$$-\frac{107}{12}$$

Factor

$$-\frac{107}{12} = -8\frac{11}{12} = -8.916666666666666$$