Solve 65/18-511/15

$$6 \frac { 5 } { 18 } - 5 \frac { 11 } { 15 }$$

Evaluate

$$\frac{49}{90}\approx 0.544444444$$

Solution Steps

Multiply 6 and 18 to get 108.

$$\frac{108+5}{18}-\frac{5\times 15+11}{15}$$

Add 108 and 5 to get 113.

$$\frac{113}{18}-\frac{5\times 15+11}{15}$$

Multiply 5 and 15 to get 75.

$$\frac{113}{18}-\frac{75+11}{15}$$

Add 75 and 11 to get 86.

$$\frac{113}{18}-\frac{86}{15}$$

Least common multiple of 18 and 15 is 90. Convert \frac{113}{18} and \frac{86}{15} to fractions with denominator 90.

$$\frac{565}{90}-\frac{516}{90}$$

Since \frac{565}{90} and \frac{516}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{565-516}{90}$$

Subtract 516 from 565 to get 49.

$$\frac{49}{90}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3 ^ {2} \cdot 5} = 0.5444444444444444$$