Solve 11/9*3/5+11/9*2/5

$$\frac{ 11 }{ 9 } \times \frac{ 3 }{ 5 } + \frac{ 11 }{ 9 } \times \frac{ 2 }{ 5 }$$

Evaluate

$$\frac{11}{9}\approx 1.222222222$$

Solution Steps

Multiply \frac{11}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 3}{9\times 5}+\frac{11}{9}\times \frac{2}{5}$$

Do the multiplications in the fraction \frac{11\times 3}{9\times 5}.

$$\frac{33}{45}+\frac{11}{9}\times \frac{2}{5}$$

Reduce the fraction \frac{33}{45} to lowest terms by extracting and canceling out 3.

$$\frac{11}{15}+\frac{11}{9}\times \frac{2}{5}$$

Multiply \frac{11}{9} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11}{15}+\frac{11\times 2}{9\times 5}$$

Do the multiplications in the fraction \frac{11\times 2}{9\times 5}.

$$\frac{11}{15}+\frac{22}{45}$$

Least common multiple of 15 and 45 is 45. Convert \frac{11}{15} and \frac{22}{45} to fractions with denominator 45.

$$\frac{33}{45}+\frac{22}{45}$$

Since \frac{33}{45} and \frac{22}{45} have the same denominator, add them by adding their numerators.

$$\frac{33+22}{45}$$

Add 33 and 22 to get 55.

$$\frac{55}{45}$$

Reduce the fraction \frac{55}{45} to lowest terms by extracting and canceling out 5.

$$\frac{11}{9}$$

Factor

$$\frac{11}{3 ^ {2}} = 1\frac{2}{9} = 1.2222222222222223$$