Solve (13/4+11/5)-1/2=

$$( \frac{ 13 }{ 4 } + \frac{ 11 }{ 5 } )- \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{99}{20}=4.95$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{13}{4} and \frac{11}{5} to fractions with denominator 20.

$$\frac{65}{20}+\frac{44}{20}-\frac{1}{2}$$

Since \frac{65}{20} and \frac{44}{20} have the same denominator, add them by adding their numerators.

$$\frac{65+44}{20}-\frac{1}{2}$$

Add 65 and 44 to get 109.

$$\frac{109}{20}-\frac{1}{2}$$

Least common multiple of 20 and 2 is 20. Convert \frac{109}{20} and \frac{1}{2} to fractions with denominator 20.

$$\frac{109}{20}-\frac{10}{20}$$

Since \frac{109}{20} and \frac{10}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{109-10}{20}$$

Subtract 10 from 109 to get 99.

$$\frac{99}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 ^ {2} \cdot 5} = 4\frac{19}{20} = 4.95$$