Solve 33/20-211/15

$$3 \frac { 3 } { 20 } - 2 \frac { 11 } { 15 }$$

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Multiply 3 and 20 to get 60.

$$\frac{60+3}{20}-\frac{2\times 15+11}{15}$$

Add 60 and 3 to get 63.

$$\frac{63}{20}-\frac{2\times 15+11}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{63}{20}-\frac{30+11}{15}$$

Add 30 and 11 to get 41.

$$\frac{63}{20}-\frac{41}{15}$$

Least common multiple of 20 and 15 is 60. Convert \frac{63}{20} and \frac{41}{15} to fractions with denominator 60.

$$\frac{189}{60}-\frac{164}{60}$$

Since \frac{189}{60} and \frac{164}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-164}{60}$$

Subtract 164 from 189 to get 25.

$$\frac{25}{60}$$

Reduce the fraction \frac{25}{60} to lowest terms by extracting and canceling out 5.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$