Solve (12/2-4/3):(2/2+5/2)=

$$( \frac { 12 } { 2 } - \frac { 4 } { 3 } ) : ( \frac { 2 } { 2 } + \frac { 5 } { 2 } ) =$$

Evaluate

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

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{\frac{12}{2}-\frac{4}{3}}{1+\frac{5}{2}}$$

Divide 12 by 2 to get 6.

$$\frac{6-\frac{4}{3}}{1+\frac{5}{2}}$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{\frac{18}{3}-\frac{4}{3}}{1+\frac{5}{2}}$$

Since \frac{18}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{18-4}{3}}{1+\frac{5}{2}}$$

Subtract 4 from 18 to get 14.

$$\frac{\frac{14}{3}}{1+\frac{5}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{14}{3}}{\frac{2}{2}+\frac{5}{2}}$$

Since \frac{2}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{14}{3}}{\frac{2+5}{2}}$$

Add 2 and 5 to get 7.

$$\frac{\frac{14}{3}}{\frac{7}{2}}$$

Divide \frac{14}{3} by \frac{7}{2} by multiplying \frac{14}{3} by the reciprocal of \frac{7}{2}.

$$\frac{14}{3}\times \frac{2}{7}$$

Multiply \frac{14}{3} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 2}{3\times 7}$$

Do the multiplications in the fraction \frac{14\times 2}{3\times 7}.

$$\frac{28}{21}$$

Reduce the fraction \frac{28}{21} to lowest terms by extracting and canceling out 7.

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

Factor

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