Solve 21/4+25/12

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

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{2\times 12+5}{12}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{2\times 12+5}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{9}{4}+\frac{24+5}{12}$$

Add 24 and 5 to get 29.

$$\frac{9}{4}+\frac{29}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{9}{4} and \frac{29}{12} to fractions with denominator 12.

$$\frac{27}{12}+\frac{29}{12}$$

Since \frac{27}{12} and \frac{29}{12} have the same denominator, add them by adding their numerators.

$$\frac{27+29}{12}$$

Add 27 and 29 to get 56.

$$\frac{56}{12}$$

Reduce the fraction \frac{56}{12} to lowest terms by extracting and canceling out 4.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$