Solve -61/2+82/3-5=

$$- 6 \frac { 1 } { 2 } + 8 \frac { 2 } { 3 } - 5 =$$

Evaluate

$$-\frac{17}{6}\approx -2.833333333$$

Solution Steps

Multiply 6 and 2 to get 12.

$$-\frac{12+1}{2}+\frac{8\times 3+2}{3}-5$$

Add 12 and 1 to get 13.

$$-\frac{13}{2}+\frac{8\times 3+2}{3}-5$$

Multiply 8 and 3 to get 24.

$$-\frac{13}{2}+\frac{24+2}{3}-5$$

Add 24 and 2 to get 26.

$$-\frac{13}{2}+\frac{26}{3}-5$$

Least common multiple of 2 and 3 is 6. Convert -\frac{13}{2} and \frac{26}{3} to fractions with denominator 6.

$$-\frac{39}{6}+\frac{52}{6}-5$$

Since -\frac{39}{6} and \frac{52}{6} have the same denominator, add them by adding their numerators.

$$\frac{-39+52}{6}-5$$

Add -39 and 52 to get 13.

$$\frac{13}{6}-5$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{13}{6}-\frac{30}{6}$$

Since \frac{13}{6} and \frac{30}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-30}{6}$$

Subtract 30 from 13 to get -17.

$$-\frac{17}{6}$$

Factor

$$-\frac{17}{6} = -2\frac{5}{6} = -2.8333333333333335$$