Solve 23/4+12/3

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

Evaluate

$$\frac{53}{12}\approx 4.416666667$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+3}{4}+\frac{1\times 3+2}{3}$$

Add 8 and 3 to get 11.

$$\frac{11}{4}+\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{11}{4}+\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{11}{4}+\frac{5}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{11}{4} and \frac{5}{3} to fractions with denominator 12.

$$\frac{33}{12}+\frac{20}{12}$$

Since \frac{33}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{33+20}{12}$$

Add 33 and 20 to get 53.

$$\frac{53}{12}$$

Factor

$$\frac{53}{2 ^ {2} \cdot 3} = 4\frac{5}{12} = 4.416666666666667$$