Solve 1/4+7/2+3/5

$$\frac { 1 } { 4 } + \frac { 7 } { 2 } + \frac { 3 } { 5 }$$

Evaluate

$$\frac{87}{20}=4.35$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{7}{2} to fractions with denominator 4.

$$\frac{1}{4}+\frac{14}{4}+\frac{3}{5}$$

Since \frac{1}{4} and \frac{14}{4} have the same denominator, add them by adding their numerators.

$$\frac{1+14}{4}+\frac{3}{5}$$

Add 1 and 14 to get 15.

$$\frac{15}{4}+\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{15}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{75}{20}+\frac{12}{20}$$

Since \frac{75}{20} and \frac{12}{20} have the same denominator, add them by adding their numerators.

$$\frac{75+12}{20}$$

Add 75 and 12 to get 87.

$$\frac{87}{20}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {2} \cdot 5} = 4\frac{7}{20} = 4.35$$