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

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

Evaluate

$$\frac{25}{28}\approx 0.892857143$$

Solution Steps

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

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

Least common multiple of 2 and 7 is 14. Convert \frac{1}{2} and \frac{1}{7} to fractions with denominator 14.

$$\frac{7}{14}+\frac{2}{14}+\frac{1}{4}$$

Since \frac{7}{14} and \frac{2}{14} have the same denominator, add them by adding their numerators.

$$\frac{7+2}{14}+\frac{1}{4}$$

Add 7 and 2 to get 9.

$$\frac{9}{14}+\frac{1}{4}$$

Least common multiple of 14 and 4 is 28. Convert \frac{9}{14} and \frac{1}{4} to fractions with denominator 28.

$$\frac{18}{28}+\frac{7}{28}$$

Since \frac{18}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{18+7}{28}$$

Add 18 and 7 to get 25.

$$\frac{25}{28}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 7} = 0.8928571428571429$$