Solve 18/8+14/4+9/2+5/4

$$\frac { 18 } { 8 } + \frac { 14 } { 4 } + \frac { 9 } { 2 } + \frac { 5 } { 4 }$$

Evaluate

$$\frac{23}{2}=11.5$$

Solution Steps

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$\frac{9}{4}+\frac{14}{4}+\frac{9}{2}+\frac{5}{4}$$

Since \frac{9}{4} and \frac{14}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+14}{4}+\frac{9}{2}+\frac{5}{4}$$

Add 9 and 14 to get 23.

$$\frac{23}{4}+\frac{9}{2}+\frac{5}{4}$$

Least common multiple of 4 and 2 is 4. Convert \frac{23}{4} and \frac{9}{2} to fractions with denominator 4.

$$\frac{23}{4}+\frac{18}{4}+\frac{5}{4}$$

Since \frac{23}{4} and \frac{18}{4} have the same denominator, add them by adding their numerators.

$$\frac{23+18}{4}+\frac{5}{4}$$

Add 23 and 18 to get 41.

$$\frac{41}{4}+\frac{5}{4}$$

Since \frac{41}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{41+5}{4}$$

Add 41 and 5 to get 46.

$$\frac{46}{4}$$

Reduce the fraction \frac{46}{4} to lowest terms by extracting and canceling out 2.

$$\frac{23}{2}$$

Factor

$$\frac{23}{2} = 11\frac{1}{2} = 11.5$$