Solve 51/6-31/2

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

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}-\frac{3\times 2+1}{2}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{31}{6}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{31}{6}-\frac{7}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{31}{6} and \frac{7}{2} to fractions with denominator 6.

$$\frac{31}{6}-\frac{21}{6}$$

Since \frac{31}{6} and \frac{21}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-21}{6}$$

Subtract 21 from 31 to get 10.

$$\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$