Solve 36/7+1/2-6/7

$$3 \frac { 6 } { 7 } + \frac { 1 } { 2 } - \frac { 6 } { 7 }$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+6}{7}+\frac{1}{2}-\frac{6}{7}$$

Add 21 and 6 to get 27.

$$\frac{27}{7}+\frac{1}{2}-\frac{6}{7}$$

Least common multiple of 7 and 2 is 14. Convert \frac{27}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{54}{14}+\frac{7}{14}-\frac{6}{7}$$

Since \frac{54}{14} and \frac{7}{14} have the same denominator, add them by adding their numerators.

$$\frac{54+7}{14}-\frac{6}{7}$$

Add 54 and 7 to get 61.

$$\frac{61}{14}-\frac{6}{7}$$

Least common multiple of 14 and 7 is 14. Convert \frac{61}{14} and \frac{6}{7} to fractions with denominator 14.

$$\frac{61}{14}-\frac{12}{14}$$

Since \frac{61}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{61-12}{14}$$

Subtract 12 from 61 to get 49.

$$\frac{49}{14}$$

Reduce the fraction \frac{49}{14} to lowest terms by extracting and canceling out 7.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$