Solve 51/2-7/6

$$5 \frac { 1 } { 2 } - \frac { 7 } { 6 }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{7}{6}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{7}{6}$$

Least common multiple of 2 and 6 is 6. Convert \frac{11}{2} and \frac{7}{6} to fractions with denominator 6.

$$\frac{33}{6}-\frac{7}{6}$$

Since \frac{33}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-7}{6}$$

Subtract 7 from 33 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$