Solve 12/7-4/8

$$\frac { 12 } { 7 } - \frac { 4 } { 8 }$$

Evaluate

$$\frac{17}{14}\approx 1.214285714$$

Solution Steps

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{12}{7}-\frac{1}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{12}{7} and \frac{1}{2} to fractions with denominator 14.

$$\frac{24}{14}-\frac{7}{14}$$

Since \frac{24}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-7}{14}$$

Subtract 7 from 24 to get 17.

$$\frac{17}{14}$$

Factor

$$\frac{17}{2 \cdot 7} = 1\frac{3}{14} = 1.2142857142857142$$