Solve -51/3+71/2=

$$- 5 \frac { 1 } { 3 } + 7 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$-\frac{15+1}{3}+\frac{7\times 2+1}{2}$$

Add 15 and 1 to get 16.

$$-\frac{16}{3}+\frac{7\times 2+1}{2}$$

Multiply 7 and 2 to get 14.

$$-\frac{16}{3}+\frac{14+1}{2}$$

Add 14 and 1 to get 15.

$$-\frac{16}{3}+\frac{15}{2}$$

Least common multiple of 3 and 2 is 6. Convert -\frac{16}{3} and \frac{15}{2} to fractions with denominator 6.

$$-\frac{32}{6}+\frac{45}{6}$$

Since -\frac{32}{6} and \frac{45}{6} have the same denominator, add them by adding their numerators.

$$\frac{-32+45}{6}$$

Add -32 and 45 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$