Solve 15/6-5/9=

$$1 \frac { 5 } { 6 } - \frac { 5 } { 9 } =$$

Evaluate

$$\frac{23}{18}\approx 1.277777778$$

Solution Steps

Multiply 1 and 6 to get 6.

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

Add 6 and 5 to get 11.

$$\frac{11}{6}-\frac{5}{9}$$

Least common multiple of 6 and 9 is 18. Convert \frac{11}{6} and \frac{5}{9} to fractions with denominator 18.

$$\frac{33}{18}-\frac{10}{18}$$

Since \frac{33}{18} and \frac{10}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-10}{18}$$

Subtract 10 from 33 to get 23.

$$\frac{23}{18}$$

Factor

$$\frac{23}{2 \cdot 3 ^ {2}} = 1\frac{5}{18} = 1.2777777777777777$$