Solve 34/7+2/4+1/4

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

Evaluate

$$\frac{121}{28}\approx 4.321428571$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+4}{7}+\frac{2}{4}+\frac{1}{4}$$

Add 21 and 4 to get 25.

$$\frac{25}{7}+\frac{2}{4}+\frac{1}{4}$$

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

$$\frac{25}{7}+\frac{1}{2}+\frac{1}{4}$$

Least common multiple of 7 and 2 is 14. Convert \frac{25}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{50}{14}+\frac{7}{14}+\frac{1}{4}$$

Since \frac{50}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{50+7}{14}+\frac{1}{4}$$

Add 50 and 7 to get 57.

$$\frac{57}{14}+\frac{1}{4}$$

Least common multiple of 14 and 4 is 28. Convert \frac{57}{14} and \frac{1}{4} to fractions with denominator 28.

$$\frac{114}{28}+\frac{7}{28}$$

Since \frac{114}{28} and \frac{7}{28} have the same denominator, add them by adding their numerators.

$$\frac{114+7}{28}$$

Add 114 and 7 to get 121.

$$\frac{121}{28}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {2} \cdot 7} = 4\frac{9}{28} = 4.321428571428571$$