Solve 31/2-15/6

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

Evaluate

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

Solution Steps

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{7}{2}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{7}{2}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{7}{2}-\frac{11}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{7}{2} and \frac{11}{6} to fractions with denominator 6.

$$\frac{21}{6}-\frac{11}{6}$$

Since \frac{21}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-11}{6}$$

Subtract 11 from 21 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

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