Solve 7/9+8/5+3/6

$$\frac { 7 } { 9 } + \frac { 8 } { 5 } + \frac { 3 } { 6 }$$

Evaluate

$$\frac{259}{90}\approx 2.877777778$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{7}{9} and \frac{8}{5} to fractions with denominator 45.

$$\frac{35}{45}+\frac{72}{45}+\frac{3}{6}$$

Since \frac{35}{45} and \frac{72}{45} have the same denominator, add them by adding their numerators.

$$\frac{35+72}{45}+\frac{3}{6}$$

Add 35 and 72 to get 107.

$$\frac{107}{45}+\frac{3}{6}$$

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

$$\frac{107}{45}+\frac{1}{2}$$

Least common multiple of 45 and 2 is 90. Convert \frac{107}{45} and \frac{1}{2} to fractions with denominator 90.

$$\frac{214}{90}+\frac{45}{90}$$

Since \frac{214}{90} and \frac{45}{90} have the same denominator, add them by adding their numerators.

$$\frac{214+45}{90}$$

Add 214 and 45 to get 259.

$$\frac{259}{90}$$

Factor

$$\frac{7 \cdot 37}{2 \cdot 3 ^ {2} \cdot 5} = 2\frac{79}{90} = 2.8777777777777778$$