Solve 3+1/2+2/3=

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

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Convert 3 to fraction \frac{6}{2}.

$$\frac{6}{2}+\frac{1}{2}+\frac{2}{3}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{6+1}{2}+\frac{2}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{2}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{7}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{21}{6}+\frac{4}{6}$$

Since \frac{21}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+4}{6}$$

Add 21 and 4 to get 25.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$