A fraction has this form:
[tex]\frac{a}{b}[/tex]Where "a" is the numerator and "b" is the denominator.
In this case, you need to find the sum of the following fractions:
[tex]\frac{7}{9}+\frac{1}{2}[/tex]To do it, you can follow these steps:
1. Find the Least Common Denominator:
- Descompose the denominators into their Prime factors:
[tex]\begin{gathered} 9=3\cdot3=3^2 \\ 2=2 \end{gathered}[/tex]- Multiply the common and uncommon factors with the highest exponent:
[tex]LCD=3^2\cdot2=18[/tex]2. Divide each denominator by 18 and multiply the numetaros by the corresponding quotients:
[tex]=\frac{14+9}{18}[/tex]3. Add the numeratos and simply the fraction.
The result is:
[tex]=\frac{23}{18}[/tex]