Solve 7/2+21/4-5/4

$$\frac{ 7 }{ 2 } + \frac{ 21 }{ 4 } - \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{15}{2}=7.5$$

Solution Steps

Least common multiple of 2 and 4 is 4. Convert \frac{7}{2} and \frac{21}{4} to fractions with denominator 4.

$$\frac{14}{4}+\frac{21}{4}-\frac{5}{4}$$

Since \frac{14}{4} and \frac{21}{4} have the same denominator, add them by adding their numerators.

$$\frac{14+21}{4}-\frac{5}{4}$$

Add 14 and 21 to get 35.

$$\frac{35}{4}-\frac{5}{4}$$

Since \frac{35}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-5}{4}$$

Subtract 5 from 35 to get 30.

$$\frac{30}{4}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}$$

Factor

$$\frac{3 \cdot 5}{2} = 7\frac{1}{2} = 7.5$$