Solve 11/9+3.6=

$$\frac { 11 } { 9 } + 3.6 =$$

Evaluate

$$\frac{217}{45}\approx 4.822222222$$

Solution Steps

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{9}+\frac{18}{5}$$

Least common multiple of 9 and 5 is 45. Convert \frac{11}{9} and \frac{18}{5} to fractions with denominator 45.

$$\frac{55}{45}+\frac{162}{45}$$

Since \frac{55}{45} and \frac{162}{45} have the same denominator, add them by adding their numerators.

$$\frac{55+162}{45}$$

Add 55 and 162 to get 217.

$$\frac{217}{45}$$

Factor

$$\frac{7 \cdot 31}{5 \cdot 3 ^ {2}} = 4\frac{37}{45} = 4.822222222222222$$