Solve 11/15-7/45+7/18

$$\frac{ 11 }{ 15 } - \frac{ 7 }{ 45 } + \frac{ 7 }{ 18 }$$

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

Least common multiple of 15 and 45 is 45. Convert \frac{11}{15} and \frac{7}{45} to fractions with denominator 45.

$$\frac{33}{45}-\frac{7}{45}+\frac{7}{18}$$

Since \frac{33}{45} and \frac{7}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-7}{45}+\frac{7}{18}$$

Subtract 7 from 33 to get 26.

$$\frac{26}{45}+\frac{7}{18}$$

Least common multiple of 45 and 18 is 90. Convert \frac{26}{45} and \frac{7}{18} to fractions with denominator 90.

$$\frac{52}{90}+\frac{35}{90}$$

Since \frac{52}{90} and \frac{35}{90} have the same denominator, add them by adding their numerators.

$$\frac{52+35}{90}$$

Add 52 and 35 to get 87.

$$\frac{87}{90}$$

Reduce the fraction \frac{87}{90} to lowest terms by extracting and canceling out 3.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$