Solve 15/3-7/6+1/2

$$\frac { 15 } { 3 } - \frac { 7 } { 6 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Divide 15 by 3 to get 5.

$$5-\frac{7}{6}+\frac{1}{2}$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{30}{6}-\frac{7}{6}+\frac{1}{2}$$

Since \frac{30}{6} and \frac{7}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-7}{6}+\frac{1}{2}$$

Subtract 7 from 30 to get 23.

$$\frac{23}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{23}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{23}{6}+\frac{3}{6}$$

Since \frac{23}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{23+3}{6}$$

Add 23 and 3 to get 26.

$$\frac{26}{6}$$

Reduce the fraction \frac{26}{6} to lowest terms by extracting and canceling out 2.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$