Solve (4/9+4/5-4/9)

$$( \frac { 4 } { 9 } + \frac { 4 } { 5 } - \frac { 4 } { 9 } )$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

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

$$\frac{20}{45}+\frac{36}{45}-\frac{4}{9}$$

Since \frac{20}{45} and \frac{36}{45} have the same denominator, add them by adding their numerators.

$$\frac{20+36}{45}-\frac{4}{9}$$

Add 20 and 36 to get 56.

$$\frac{56}{45}-\frac{4}{9}$$

Least common multiple of 45 and 9 is 45. Convert \frac{56}{45} and \frac{4}{9} to fractions with denominator 45.

$$\frac{56}{45}-\frac{20}{45}$$

Since \frac{56}{45} and \frac{20}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-20}{45}$$

Subtract 20 from 56 to get 36.

$$\frac{36}{45}$$

Reduce the fraction \frac{36}{45} to lowest terms by extracting and canceling out 9.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$