Solve 12/3+21/4=

$$1 \frac { 2 } { 3 } + 2 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{47}{12}\approx 3.916666667$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}+\frac{2\times 4+1}{4}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}+\frac{2\times 4+1}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{5}{3}+\frac{8+1}{4}$$

Add 8 and 1 to get 9.

$$\frac{5}{3}+\frac{9}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{5}{3} and \frac{9}{4} to fractions with denominator 12.

$$\frac{20}{12}+\frac{27}{12}$$

Since \frac{20}{12} and \frac{27}{12} have the same denominator, add them by adding their numerators.

$$\frac{20+27}{12}$$

Add 20 and 27 to get 47.

$$\frac{47}{12}$$

Factor

$$\frac{47}{2 ^ {2} \cdot 3} = 3\frac{11}{12} = 3.9166666666666665$$