Solve 22/3*3/4+1/2=

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+2}{3}\times \frac{3}{4}+\frac{1}{2}$$

Add 6 and 2 to get 8.

$$\frac{8}{3}\times \frac{3}{4}+\frac{1}{2}$$

Multiply \frac{8}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 3}{3\times 4}+\frac{1}{2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{8}{4}+\frac{1}{2}$$

Divide 8 by 4 to get 2.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

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

Add 4 and 1 to get 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$