Solve 14/5-16/9

$$\frac { 14 } { 5 } - \frac { 16 } { 9 }$$

Evaluate

$$\frac{46}{45}\approx 1.022222222$$

Solution Steps

Least common multiple of 5 and 9 is 45. Convert \frac{14}{5} and \frac{16}{9} to fractions with denominator 45.

$$\frac{126}{45}-\frac{80}{45}$$

Since \frac{126}{45} and \frac{80}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{126-80}{45}$$

Subtract 80 from 126 to get 46.

$$\frac{46}{45}$$

Factor

$$\frac{2 \cdot 23}{3 ^ {2} \cdot 5} = 1\frac{1}{45} = 1.0222222222222221$$