Solve 5+5/9+3-5/9

$$\frac{ 5+5 }{ 9+3 } - \frac{ 5 }{ 9 }$$

Evaluate

$$\frac{5}{18}\approx 0.277777778$$

Solution Steps

Add 5 and 5 to get 10.

$$\frac{10}{9+3}-\frac{5}{9}$$

Add 9 and 3 to get 12.

$$\frac{10}{12}-\frac{5}{9}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}-\frac{5}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{5}{9} to fractions with denominator 18.

$$\frac{15}{18}-\frac{10}{18}$$

Since \frac{15}{18} and \frac{10}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-10}{18}$$

Subtract 10 from 15 to get 5.

$$\frac{5}{18}$$

Factor

$$\frac{5}{2 \cdot 3 ^ {2}} = 0.2777777777777778$$