Add or subtract as indicated. Write answers in lowest terms as needed. 13/15 - 3/15

Verified step by step guidance

1. Identify the fractions involved in the problem: \( \frac{13}{15} \) and \( \frac{3}{15} \).
2. Since the denominators are the same, you can directly subtract the numerators.
3. Subtract the numerators: \( 13 - 3 \).
4. Write the result over the common denominator: \( \frac{13 - 3}{15} \).
5. Simplify the fraction if possible to ensure it is in its lowest terms.

Key Concepts

Fractions

Fractions represent a part of a whole and consist of a numerator (the top number) and a denominator (the bottom number). Understanding how to manipulate fractions, including addition and subtraction, is essential for solving problems involving them. In this case, both fractions share a common denominator, which simplifies the process of combining them.

Common Denominator

A common denominator is a shared multiple of the denominators of two or more fractions, allowing for straightforward addition or subtraction. When fractions have the same denominator, you can directly add or subtract the numerators while keeping the denominator unchanged. In the given question, both fractions have a denominator of 15, making it easy to perform the operation.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. Reducing fractions to their lowest terms is important for clarity and simplicity. After performing the operation in the question, it may be necessary to simplify the result to ensure it is presented in its simplest form.