To solve the addition of the fractions [tex]\(\frac{2}{9} + \frac{1}{9}\)[/tex], follow these steps:
1. Identify the Fractions: We have two fractions, [tex]\(\frac{2}{9}\)[/tex] and [tex]\(\frac{1}{9}\)[/tex].
2. Check Common Denominator: Both fractions already have the same denominator, which is [tex]\(9\)[/tex].
3. Add the Numerators: Since the denominators are the same, we add the numerators together:
[tex]\[
2 + 1 = 3
\][/tex]
4. Form the Resulting Fraction: Place the sum of the numerators over the common denominator:
[tex]\[
\frac{3}{9}
\][/tex]
5. Simplify the Fraction (if possible): In this case, [tex]\(\frac{3}{9}\)[/tex] can be simplified. Both the numerator and the denominator can be divided by their greatest common divisor, which is [tex]\(3\)[/tex]:
[tex]\[
\frac{3 \div 3}{9 \div 3} = \frac{1}{3}
\][/tex]
6. Convert to Decimal (Optional): The fraction [tex]\(\frac{1}{3}\)[/tex] expressed as a decimal is approximately [tex]\(0.3333333333333333\)[/tex].
Therefore, the step-by-step solution shows that:
[tex]\(\frac{2}{9} + \frac{1}{9} = \frac{3}{9} = \frac{1}{3}\)[/tex] which is approximately [tex]\(0.3333333333333333\)[/tex].
