Solve 31/3-11/2=

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 3 and 3 to get 9.

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

Add 9 and 1 to get 10.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

$$\frac{10}{3}-\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{10}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{20}{6}-\frac{9}{6}$$

Since \frac{20}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-9}{6}$$

Subtract 9 from 20 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$