Solve 21/2-21/7

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

Evaluate

$$\frac{5}{14}\approx 0.357142857$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}-\frac{2\times 7+1}{7}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{2\times 7+1}{7}$$

Multiply 2 and 7 to get 14.

$$\frac{5}{2}-\frac{14+1}{7}$$

Add 14 and 1 to get 15.

$$\frac{5}{2}-\frac{15}{7}$$

Least common multiple of 2 and 7 is 14. Convert \frac{5}{2} and \frac{15}{7} to fractions with denominator 14.

$$\frac{35}{14}-\frac{30}{14}$$

Since \frac{35}{14} and \frac{30}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-30}{14}$$

Subtract 30 from 35 to get 5.

$$\frac{5}{14}$$

Factor

$$\frac{5}{2 \cdot 7} = 0.35714285714285715$$