Solve 2/frac{2{2}}-2/3/2

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

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Divide 2 by 2 to get 1.

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

Anything divided by one gives itself.

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

Express \frac{\frac{2}{3}}{2} as a single fraction.

$$2-\frac{2}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

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

Convert 2 to fraction \frac{6}{3}.

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

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 6 to get 5.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$