Solve 3/5-7/9+1/1

$$\frac { 3 } { 5 } - \frac { 7 } { 9 } + \frac { 1 } { 1 }$$

Evaluate

$$\frac{37}{45}\approx 0.822222222$$

Solution Steps

Divide 1 by 1 to get 1.

$$\frac{3}{5}-\frac{7}{9}+1$$

Least common multiple of 5 and 9 is 45. Convert \frac{3}{5} and \frac{7}{9} to fractions with denominator 45.

$$\frac{27}{45}-\frac{35}{45}+1$$

Since \frac{27}{45} and \frac{35}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-35}{45}+1$$

Subtract 35 from 27 to get -8.

$$-\frac{8}{45}+1$$

Convert 1 to fraction \frac{45}{45}.

$$-\frac{8}{45}+\frac{45}{45}$$

Since -\frac{8}{45} and \frac{45}{45} have the same denominator, add them by adding their numerators.

$$\frac{-8+45}{45}$$

Add -8 and 45 to get 37.

$$\frac{37}{45}$$

Factor

$$\frac{37}{3 ^ {2} \cdot 5} = 0.8222222222222222$$