Solve 12/3-35/6

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

Evaluate

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

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}-\frac{3\times 6+5}{6}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{5}{3}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{5}{3}-\frac{23}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{23}{6} to fractions with denominator 6.

$$\frac{10}{6}-\frac{23}{6}$$

Since \frac{10}{6} and \frac{23}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-23}{6}$$

Subtract 23 from 10 to get -13.

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

Factor

$$-\frac{13}{6} = -2\frac{1}{6} = -2.1666666666666665$$