Solve 47/15-15/12

$$4 \frac { 7 } { 15 } - 1 \frac { 5 } { 12 }$$

Evaluate

$$\frac{61}{20}=3.05$$

Solution Steps

Multiply 4 and 15 to get 60.

$$\frac{60+7}{15}-\frac{1\times 12+5}{12}$$

Add 60 and 7 to get 67.

$$\frac{67}{15}-\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{67}{15}-\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{67}{15}-\frac{17}{12}$$

Least common multiple of 15 and 12 is 60. Convert \frac{67}{15} and \frac{17}{12} to fractions with denominator 60.

$$\frac{268}{60}-\frac{85}{60}$$

Since \frac{268}{60} and \frac{85}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{268-85}{60}$$

Subtract 85 from 268 to get 183.

$$\frac{183}{60}$$

Reduce the fraction \frac{183}{60} to lowest terms by extracting and canceling out 3.

$$\frac{61}{20}$$

Factor

$$\frac{61}{2 ^ {2} \cdot 5} = 3\frac{1}{20} = 3.05$$