To solve the problem of adding the fraction [tex]\(\frac{7}{9}\)[/tex] and the whole number 3, follow these steps:
### Step 1: Convert the Whole Number to a Fraction
First, you need to convert the whole number 3 into a fraction with the same denominator as [tex]\(\frac{7}{9}\)[/tex]. Since the denominator of [tex]\(\frac{7}{9}\)[/tex] is 9, you convert 3 as follows:
[tex]\[
3 = \frac{3}{1}
\][/tex]
To have the same denominator, multiply both the numerator and the denominator of [tex]\(\frac{3}{1}\)[/tex] by 9:
[tex]\[
\frac{3}{1} = \frac{3 \times 9}{1 \times 9} = \frac{27}{9}
\][/tex]
### Step 2: Add the Fractions
Now, add the fractions [tex]\(\frac{7}{9}\)[/tex] and [tex]\(\frac{27}{9}\)[/tex]:
[tex]\[
\frac{7}{9} + \frac{27}{9} = \frac{7 + 27}{9} = \frac{34}{9}
\][/tex]
### Step 3: Simplify the Fraction
Next, check if the fraction [tex]\(\frac{34}{9}\)[/tex] can be simplified. The greatest common divisor (GCD) of 34 and 9 is 1, so the fraction is already in its simplest form.
### Final Answer
Therefore, the answer to [tex]\(\frac{7}{9} + 3\)[/tex] in the simplest form is:
[tex]\[
\frac{34}{9}
\][/tex]
