Solve 4/5+2/9

$$\frac { 4 } { 5 } + \frac { 2 } { 9 }$$

Evaluate

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

Solution Steps

Least common multiple of 5 and 9 is 45. Convert \frac{4}{5} and \frac{2}{9} to fractions with denominator 45.

$$\frac{36}{45}+\frac{10}{45}$$

Since \frac{36}{45} and \frac{10}{45} have the same denominator, add them by adding their numerators.

$$\frac{36+10}{45}$$

Add 36 and 10 to get 46.

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

Factor

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