Solve 12/15-1/12

$$1 \frac { 2 } { 15 } - \frac { 1 } { 12 }$$

Evaluate

$$\frac{21}{20}=1.05$$

Solution Steps

Multiply 1 and 15 to get 15.

$$\frac{15+2}{15}-\frac{1}{12}$$

Add 15 and 2 to get 17.

$$\frac{17}{15}-\frac{1}{12}$$

Least common multiple of 15 and 12 is 60. Convert \frac{17}{15} and \frac{1}{12} to fractions with denominator 60.

$$\frac{68}{60}-\frac{5}{60}$$

Since \frac{68}{60} and \frac{5}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-5}{60}$$

Subtract 5 from 68 to get 63.

$$\frac{63}{60}$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$\frac{21}{20}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2} \cdot 5} = 1\frac{1}{20} = 1.05$$