Solve 3/4+12/3+2=

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

Evaluate

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

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

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

$$\frac{9}{12}+\frac{20}{12}+2$$

Since \frac{9}{12} and \frac{20}{12} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{12}+2$$

Add 9 and 20 to get 29.

$$\frac{29}{12}+2$$

Convert 2 to fraction \frac{24}{12}.

$$\frac{29}{12}+\frac{24}{12}$$

Since \frac{29}{12} and \frac{24}{12} have the same denominator, add them by adding their numerators.

$$\frac{29+24}{12}$$

Add 29 and 24 to get 53.

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

Factor

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