Solve 28/6-4/3-10/14=

$$\frac { 28 } { 6 } - \frac { 4 } { 3 } - \frac { 10 } { 14 } =$$

Evaluate

$$\frac{55}{21}\approx 2.619047619$$

Solution Steps

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$\frac{14}{3}-\frac{4}{3}-\frac{10}{14}$$

Since \frac{14}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{14-4}{3}-\frac{10}{14}$$

Subtract 4 from 14 to get 10.

$$\frac{10}{3}-\frac{10}{14}$$

Reduce the fraction \frac{10}{14} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}-\frac{5}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{10}{3} and \frac{5}{7} to fractions with denominator 21.

$$\frac{70}{21}-\frac{15}{21}$$

Since \frac{70}{21} and \frac{15}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{70-15}{21}$$

Subtract 15 from 70 to get 55.

$$\frac{55}{21}$$

Factor

$$\frac{5 \cdot 11}{3 \cdot 7} = 2\frac{13}{21} = 2.619047619047619$$