Solve 31/3-25/6

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{2\times 6+5}{6}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{10}{3}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{10}{3}-\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{20}{6}-\frac{17}{6}$$

Since \frac{20}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-17}{6}$$

Subtract 17 from 20 to get 3.

$$\frac{3}{6}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$