Solve 21/2-7/6=

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

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}-\frac{7}{6}$$

Add 4 and 1 to get 5.

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

Least common multiple of 2 and 6 is 6. Convert \frac{5}{2} and \frac{7}{6} to fractions with denominator 6.

$$\frac{15}{6}-\frac{7}{6}$$

Since \frac{15}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-7}{6}$$

Subtract 7 from 15 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$