Solve 1/4+2/7+1/2

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

Evaluate

$$\frac{29}{28}\approx 1.035714286$$

Solution Steps

Least common multiple of 4 and 7 is 28. Convert \frac{1}{4} and \frac{2}{7} to fractions with denominator 28.

$$\frac{7}{28}+\frac{8}{28}+\frac{1}{2}$$

Since \frac{7}{28} and \frac{8}{28} have the same denominator, add them by adding their numerators.

$$\frac{7+8}{28}+\frac{1}{2}$$

Add 7 and 8 to get 15.

$$\frac{15}{28}+\frac{1}{2}$$

Least common multiple of 28 and 2 is 28. Convert \frac{15}{28} and \frac{1}{2} to fractions with denominator 28.

$$\frac{15}{28}+\frac{14}{28}$$

Since \frac{15}{28} and \frac{14}{28} have the same denominator, add them by adding their numerators.

$$\frac{15+14}{28}$$

Add 15 and 14 to get 29.

$$\frac{29}{28}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 7} = 1\frac{1}{28} = 1.0357142857142858$$