Solve 31/3-5/6

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{5}{6}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{5}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{20}{6}-\frac{5}{6}$$

Since \frac{20}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-5}{6}$$

Subtract 5 from 20 to get 15.

$$\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$