Solve 61/2-35/6

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 6 and 2 to get 12.

$$\frac{12+1}{2}-\frac{3\times 6+5}{6}$$

Add 12 and 1 to get 13.

$$\frac{13}{2}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{13}{2}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{13}{2}-\frac{23}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{13}{2} and \frac{23}{6} to fractions with denominator 6.

$$\frac{39}{6}-\frac{23}{6}$$

Since \frac{39}{6} and \frac{23}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{39-23}{6}$$

Subtract 23 from 39 to get 16.

$$\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$