Solve 45/6-31/6

$$4 \frac{ 5 }{ 6 } -3 \frac{ 1 }{ 6 }$$

Evaluate

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

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}-\frac{3\times 6+1}{6}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}-\frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{29}{6}-\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{29}{6}-\frac{19}{6}$$

Since \frac{29}{6} and \frac{19}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-19}{6}$$

Subtract 19 from 29 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

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