Solve 71/2-6/7

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

Evaluate

$$\frac{93}{14}\approx 6.642857143$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}-\frac{6}{7}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}-\frac{6}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{15}{2} and \frac{6}{7} to fractions with denominator 14.

$$\frac{105}{14}-\frac{12}{14}$$

Since \frac{105}{14} and \frac{12}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-12}{14}$$

Subtract 12 from 105 to get 93.

$$\frac{93}{14}$$

Factor

$$\frac{3 \cdot 31}{2 \cdot 7} = 6\frac{9}{14} = 6.642857142857143$$