Add or subtract as indicated. Write answers in lowest terms as needed.2/9 + 5/9

Verified step by step guidance

1. Identify the fractions to be added: $\frac{2}{9}$ and $\frac{5}{9}$.
2. Since the denominators are the same, you can add the numerators directly.
3. Add the numerators: $2+5$.
4. Write the result over the common denominator: $\frac{2+5}{9}$.
5. Simplify the fraction if necessary. In this case, the fraction is already in its simplest form.

Key Concepts

Fractions

Fractions represent a part of a whole and consist of a numerator (the top number) and a denominator (the bottom number). To add or subtract fractions, they must have a common denominator, which allows for the direct addition or subtraction of the numerators while keeping the denominator the same.

Common Denominator

A common denominator is a shared multiple of the denominators of two or more fractions. When adding or subtracting fractions, finding a common denominator is essential to ensure that the fractions can be combined correctly. In the case of 2/9 and 5/9, the common denominator is already 9.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). This ensures that the fraction is expressed in its simplest form, making it easier to understand and work with.