Solve 14/21-5/9

$$1 \frac { 4 } { 21 } - \frac { 5 } { 9 }$$

Evaluate

$$\frac{40}{63}\approx 0.634920635$$

Solution Steps

Multiply 1 and 21 to get 21.

$$\frac{21+4}{21}-\frac{5}{9}$$

Add 21 and 4 to get 25.

$$\frac{25}{21}-\frac{5}{9}$$

Least common multiple of 21 and 9 is 63. Convert \frac{25}{21} and \frac{5}{9} to fractions with denominator 63.

$$\frac{75}{63}-\frac{35}{63}$$

Since \frac{75}{63} and \frac{35}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-35}{63}$$

Subtract 35 from 75 to get 40.

$$\frac{40}{63}$$

Factor

$$\frac{2 ^ {3} \cdot 5}{3 ^ {2} \cdot 7} = 0.6349206349206349$$