Solve 3/15-1/45-1/90

$$\frac { 3 } { 15 } - \frac { 1 } { 45 } - \frac { 1 } { 90 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{5}-\frac{1}{45}-\frac{1}{90}$$

Least common multiple of 5 and 45 is 45. Convert \frac{1}{5} and \frac{1}{45} to fractions with denominator 45.

$$\frac{9}{45}-\frac{1}{45}-\frac{1}{90}$$

Since \frac{9}{45} and \frac{1}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-1}{45}-\frac{1}{90}$$

Subtract 1 from 9 to get 8.

$$\frac{8}{45}-\frac{1}{90}$$

Least common multiple of 45 and 90 is 90. Convert \frac{8}{45} and \frac{1}{90} to fractions with denominator 90.

$$\frac{16}{90}-\frac{1}{90}$$

Since \frac{16}{90} and \frac{1}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-1}{90}$$

Subtract 1 from 16 to get 15.

$$\frac{15}{90}$$

Reduce the fraction \frac{15}{90} to lowest terms by extracting and canceling out 15.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$