Solve 2/5+7/2+6/9

$$\frac { 2 } { 5 } + \frac { 7 } { 2 } + \frac { 6 } { 9 }$$

Evaluate

$$\frac{137}{30}\approx 4.566666667$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{2}{5} and \frac{7}{2} to fractions with denominator 10.

$$\frac{4}{10}+\frac{35}{10}+\frac{6}{9}$$

Since \frac{4}{10} and \frac{35}{10} have the same denominator, add them by adding their numerators.

$$\frac{4+35}{10}+\frac{6}{9}$$

Add 4 and 35 to get 39.

$$\frac{39}{10}+\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{39}{10}+\frac{2}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{39}{10} and \frac{2}{3} to fractions with denominator 30.

$$\frac{117}{30}+\frac{20}{30}$$

Since \frac{117}{30} and \frac{20}{30} have the same denominator, add them by adding their numerators.

$$\frac{117+20}{30}$$

Add 117 and 20 to get 137.

$$\frac{137}{30}$$

Factor

$$\frac{137}{2 \cdot 3 \cdot 5} = 4\frac{17}{30} = 4.566666666666666$$