Solve 151/3+15/12

$$15 \frac { 1 } { 3 } + 1 \frac { 5 } { 12 }$$

Evaluate

$$\frac{67}{4}=16.75$$

Solution Steps

Multiply 15 and 3 to get 45.

$$\frac{45+1}{3}+\frac{1\times 12+5}{12}$$

Add 45 and 1 to get 46.

$$\frac{46}{3}+\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{46}{3}+\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{46}{3}+\frac{17}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{46}{3} and \frac{17}{12} to fractions with denominator 12.

$$\frac{184}{12}+\frac{17}{12}$$

Since \frac{184}{12} and \frac{17}{12} have the same denominator, add them by adding their numerators.

$$\frac{184+17}{12}$$

Add 184 and 17 to get 201.

$$\frac{201}{12}$$

Reduce the fraction \frac{201}{12} to lowest terms by extracting and canceling out 3.

$$\frac{67}{4}$$

Factor

$$\frac{67}{2 ^ {2}} = 16\frac{3}{4} = 16.75$$