Solve 31/3-21/6

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{2\times 6+1}{6}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{10}{3}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{10}{3}-\frac{13}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{13}{6} to fractions with denominator 6.

$$\frac{20}{6}-\frac{13}{6}$$

Since \frac{20}{6} and \frac{13}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-13}{6}$$

Subtract 13 from 20 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$