Solve (-361/2)+193/4

$$( - 36 \frac { 1 } { 2 } ) + 19 \frac { 3 } { 4 }$$

Evaluate

$$-\frac{67}{4}=-16.75$$

Solution Steps

Multiply 36 and 2 to get 72.

$$-\frac{72+1}{2}+\frac{19\times 4+3}{4}$$

Add 72 and 1 to get 73.

$$-\frac{73}{2}+\frac{19\times 4+3}{4}$$

Multiply 19 and 4 to get 76.

$$-\frac{73}{2}+\frac{76+3}{4}$$

Add 76 and 3 to get 79.

$$-\frac{73}{2}+\frac{79}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{73}{2} and \frac{79}{4} to fractions with denominator 4.

$$-\frac{146}{4}+\frac{79}{4}$$

Since -\frac{146}{4} and \frac{79}{4} have the same denominator, add them by adding their numerators.

$$\frac{-146+79}{4}$$

Add -146 and 79 to get -67.

$$-\frac{67}{4}$$

Factor

$$-\frac{67}{4} = -16\frac{3}{4} = -16.75$$