Solve 2+2/3*21/2

$$2 + \frac { 2 } { 3 } \times 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 2 and 2 to get 4.

$$2+\frac{2}{3}\times \frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$2+\frac{2}{3}\times \frac{5}{2}$$

Multiply \frac{2}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$2+\frac{2\times 5}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$2+\frac{5}{3}$$

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

$$\frac{6}{3}+\frac{5}{3}$$

Since \frac{6}{3} and \frac{5}{3} have the same denominator, add them by adding their numerators.

$$\frac{6+5}{3}$$

Add 6 and 5 to get 11.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$