Solve -31/2+83/4

$$- 3 \frac { 1 } { 2 } + 8 \frac { 3 } { 4 }$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Multiply 3 and 2 to get 6.

$$-\frac{6+1}{2}+\frac{8\times 4+3}{4}$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}+\frac{8\times 4+3}{4}$$

Multiply 8 and 4 to get 32.

$$-\frac{7}{2}+\frac{32+3}{4}$$

Add 32 and 3 to get 35.

$$-\frac{7}{2}+\frac{35}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{7}{2} and \frac{35}{4} to fractions with denominator 4.

$$-\frac{14}{4}+\frac{35}{4}$$

Since -\frac{14}{4} and \frac{35}{4} have the same denominator, add them by adding their numerators.

$$\frac{-14+35}{4}$$

Add -14 and 35 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$