Solve 10/5-1-4/6+8

$$\frac { 10 } { 5 - 1 } - \frac { 4 } { 6 + 8 }$$

Evaluate

$$\frac{31}{14}\approx 2.214285714$$

Solution Steps

Subtract 1 from 5 to get 4.

$$\frac{10}{4}-\frac{4}{6+8}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}-\frac{4}{6+8}$$

Add 6 and 8 to get 14.

$$\frac{5}{2}-\frac{4}{14}$$

Reduce the fraction \frac{4}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}-\frac{2}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{2}{7} to fractions with denominator 14.

$$\frac{35}{14}-\frac{4}{14}$$

Since \frac{35}{14} and \frac{4}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-4}{14}$$

Subtract 4 from 35 to get 31.

$$\frac{31}{14}$$

Factor

$$\frac{31}{2 \cdot 7} = 2\frac{3}{14} = 2.2142857142857144$$