Solve -61/2+53/4

$$- 6 \frac { 1 } { 2 } + 5 \frac { 3 } { 4 }$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Multiply 6 and 2 to get 12.

$$-\frac{12+1}{2}+\frac{5\times 4+3}{4}$$

Add 12 and 1 to get 13.

$$-\frac{13}{2}+\frac{5\times 4+3}{4}$$

Multiply 5 and 4 to get 20.

$$-\frac{13}{2}+\frac{20+3}{4}$$

Add 20 and 3 to get 23.

$$-\frac{13}{2}+\frac{23}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{13}{2} and \frac{23}{4} to fractions with denominator 4.

$$-\frac{26}{4}+\frac{23}{4}$$

Since -\frac{26}{4} and \frac{23}{4} have the same denominator, add them by adding their numerators.

$$\frac{-26+23}{4}$$

Add -26 and 23 to get -3.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$