Respuesta :

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]

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