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

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

Evaluate

$$\frac{33}{28}\approx 1.178571429$$

Solution Steps

Least common multiple of 4 and 7 is 28. Convert \frac{1}{4} and \frac{3}{7} to fractions with denominator 28.

$$\frac{7}{28}+\frac{12}{28}+\frac{1}{2}$$

Since \frac{7}{28} and \frac{12}{28} have the same denominator, add them by adding their numerators.

$$\frac{7+12}{28}+\frac{1}{2}$$

Add 7 and 12 to get 19.

$$\frac{19}{28}+\frac{1}{2}$$

Least common multiple of 28 and 2 is 28. Convert \frac{19}{28} and \frac{1}{2} to fractions with denominator 28.

$$\frac{19}{28}+\frac{14}{28}$$

Since \frac{19}{28} and \frac{14}{28} have the same denominator, add them by adding their numerators.

$$\frac{19+14}{28}$$

Add 19 and 14 to get 33.

$$\frac{33}{28}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 7} = 1\frac{5}{28} = 1.1785714285714286$$