Solve 29/7-29/14+7/2

$$\frac { 29 } { 7 } - \frac { 29 } { 14 } + \frac { 7 } { 2 }$$

Evaluate

$$\frac{39}{7}\approx 5.571428571$$

Solution Steps

Least common multiple of 7 and 14 is 14. Convert \frac{29}{7} and \frac{29}{14} to fractions with denominator 14.

$$\frac{58}{14}-\frac{29}{14}+\frac{7}{2}$$

Since \frac{58}{14} and \frac{29}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{58-29}{14}+\frac{7}{2}$$

Subtract 29 from 58 to get 29.

$$\frac{29}{14}+\frac{7}{2}$$

Least common multiple of 14 and 2 is 14. Convert \frac{29}{14} and \frac{7}{2} to fractions with denominator 14.

$$\frac{29}{14}+\frac{49}{14}$$

Since \frac{29}{14} and \frac{49}{14} have the same denominator, add them by adding their numerators.

$$\frac{29+49}{14}$$

Add 29 and 49 to get 78.

$$\frac{78}{14}$$

Reduce the fraction \frac{78}{14} to lowest terms by extracting and canceling out 2.

$$\frac{39}{7}$$

Factor

$$\frac{3 \cdot 13}{7} = 5\frac{4}{7} = 5.571428571428571$$