Solve 51/2-1/3(5/2)+1/3

$$5 \frac { 1 } { 2 } - \frac { 1 } { 3 } ( \frac { 5 } { 2 } ) + \frac { 1 } { 3 }$$

Evaluate

$$5$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{1}{3}\times \frac{5}{2}+\frac{1}{3}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{1}{3}\times \frac{5}{2}+\frac{1}{3}$$

Multiply \frac{1}{3} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{2}-\frac{1\times 5}{3\times 2}+\frac{1}{3}$$

Do the multiplications in the fraction \frac{1\times 5}{3\times 2}.

$$\frac{11}{2}-\frac{5}{6}+\frac{1}{3}$$

Least common multiple of 2 and 6 is 6. Convert \frac{11}{2} and \frac{5}{6} to fractions with denominator 6.

$$\frac{33}{6}-\frac{5}{6}+\frac{1}{3}$$

Since \frac{33}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-5}{6}+\frac{1}{3}$$

Subtract 5 from 33 to get 28.

$$\frac{28}{6}+\frac{1}{3}$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

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

Since \frac{14}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

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

Add 14 and 1 to get 15.

$$\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$5$$

Factor

$$5$$