Solve 4/5-7/9

$$\frac { 4 } { 5 } - \frac { 7 } { 9 }$$

Evaluate

$$\frac{1}{45}\approx 0.022222222$$

Solution Steps

Least common multiple of 5 and 9 is 45. Convert \frac{4}{5} and \frac{7}{9} to fractions with denominator 45.

$$\frac{36}{45}-\frac{35}{45}$$

Since \frac{36}{45} and \frac{35}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-35}{45}$$

Subtract 35 from 36 to get 1.

$$\frac{1}{45}$$

Factor

$$\frac{1}{3 ^ {2} \cdot 5} = 0.022222222222222223$$