Solve 51/2-25/6=

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

Evaluate

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

Solution Steps

Multiply 5 and 2 to get 10.

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

Add 10 and 1 to get 11.

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

Multiply 2 and 6 to get 12.

$$\frac{11}{2}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{11}{2}-\frac{17}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{11}{2} and \frac{17}{6} to fractions with denominator 6.

$$\frac{33}{6}-\frac{17}{6}$$

Since \frac{33}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-17}{6}$$

Subtract 17 from 33 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

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