Solve 7/9+11/5+2/9*5/11

$$\frac { 7 } { 9 } + \frac { 11 } { 5 } + \frac { 2 } { 9 } \times \frac { 5 } { 11 }$$

Evaluate

$$\frac{508}{165}\approx 3.078787879$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{11}{5} to fractions with denominator 45.

$$\frac{35}{45}+\frac{99}{45}+\frac{2}{9}\times \frac{5}{11}$$

Since \frac{35}{45} and \frac{99}{45} have the same denominator, add them by adding their numerators.

$$\frac{35+99}{45}+\frac{2}{9}\times \frac{5}{11}$$

Add 35 and 99 to get 134.

$$\frac{134}{45}+\frac{2}{9}\times \frac{5}{11}$$

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

$$\frac{134}{45}+\frac{2\times 5}{9\times 11}$$

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

$$\frac{134}{45}+\frac{10}{99}$$

Least common multiple of 45 and 99 is 495. Convert \frac{134}{45} and \frac{10}{99} to fractions with denominator 495.

$$\frac{1474}{495}+\frac{50}{495}$$

Since \frac{1474}{495} and \frac{50}{495} have the same denominator, add them by adding their numerators.

$$\frac{1474+50}{495}$$

Add 1474 and 50 to get 1524.

$$\frac{1524}{495}$$

Reduce the fraction \frac{1524}{495} to lowest terms by extracting and canceling out 3.

$$\frac{508}{165}$$

Factor

$$\frac{2 ^ {2} \cdot 127}{3 \cdot 5 \cdot 11} = 3\frac{13}{165} = 3.0787878787878786$$