Solve 45/6-11/2

$$4 \frac { 5 } { 6 } - 1 \frac { 1 } { 2 }$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Multiply 4 and 6 to get 24.

$$\frac{24+5}{6}-\frac{1\times 2+1}{2}$$

Add 24 and 5 to get 29.

$$\frac{29}{6}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{29}{6}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{29}{6}-\frac{3}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{29}{6} and \frac{3}{2} to fractions with denominator 6.

$$\frac{29}{6}-\frac{9}{6}$$

Since \frac{29}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-9}{6}$$

Subtract 9 from 29 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$