Solve 51/2-45/6=

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{4\times 6+5}{6}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{4\times 6+5}{6}$$

Multiply 4 and 6 to get 24.

$$\frac{11}{2}-\frac{24+5}{6}$$

Add 24 and 5 to get 29.

$$\frac{11}{2}-\frac{29}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{11}{2} and \frac{29}{6} to fractions with denominator 6.

$$\frac{33}{6}-\frac{29}{6}$$

Since \frac{33}{6} and \frac{29}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-29}{6}$$

Subtract 29 from 33 to get 4.

$$\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$