Solve 21/4+15/12

$$2 \frac { 1 } { 4 } + 1 \frac { 5 } { 12 }$$

Evaluate

$$\frac{11}{3}\approx 3.666666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{1\times 12+5}{12}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{1\times 12+5}{12}$$

Multiply 1 and 12 to get 12.

$$\frac{9}{4}+\frac{12+5}{12}$$

Add 12 and 5 to get 17.

$$\frac{9}{4}+\frac{17}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{9}{4} and \frac{17}{12} to fractions with denominator 12.

$$\frac{27}{12}+\frac{17}{12}$$

Since \frac{27}{12} and \frac{17}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+17}{12}$$

Add 27 and 17 to get 44.

$$\frac{44}{12}$$

Reduce the fraction \frac{44}{12} to lowest terms by extracting and canceling out 4.

$$\frac{11}{3}$$

Factor

$$\frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$