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

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

Evaluate

$$\frac{37}{28}\approx 1.321428571$$

Solution Steps

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

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

Least common multiple of 7 and 2 is 14. Convert \frac{4}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{8}{14}+\frac{7}{14}+\frac{1}{4}$$

Since \frac{8}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{8+7}{14}+\frac{1}{4}$$

Add 8 and 7 to get 15.

$$\frac{15}{14}+\frac{1}{4}$$

Least common multiple of 14 and 4 is 28. Convert \frac{15}{14} and \frac{1}{4} to fractions with denominator 28.

$$\frac{30}{28}+\frac{7}{28}$$

Since \frac{30}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{30+7}{28}$$

Add 30 and 7 to get 37.

$$\frac{37}{28}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 7} = 1\frac{9}{28} = 1.3214285714285714$$