Solve 7/4+2/3

$$\frac{ 7 }{ 4 } + \frac{ 2 }{ 3 }$$

Evaluate

$$\frac{29}{12}\approx 2.416666667$$

Solution Steps

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{21}{12}+\frac{8}{12}$$

Since \frac{21}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{21+8}{12}$$

Add 21 and 8 to get 29.

$$\frac{29}{12}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$