How to Add Fractions: A Step-by-Step Guide
Learn how to add fractions easily with our step-by-step explanation of common denominators and simplification techniques.
0 views
Adding fractions involves common denominators. First, find the least common denominator (LCD) of the fractions involved. Next, convert each fraction to an equivalent fraction with the LCD as the denominator by multiplying the numerator and denominator by the same number. Add the numerators, and keep the denominator the same. Finally, if possible, simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common divisor. This process ensures that fractions with different denominators can be combined effectively.
FAQs & Answers
- What is a common denominator? A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.
- How do you find the least common denominator (LCD)? To find the least common denominator (LCD), identify the multiples of each denominator and select the smallest multiple that is common to all denominators.
- Can you add fractions with different denominators directly? No, you cannot add fractions with different denominators directly. You must first convert them to equivalent fractions with a common denominator.
- What does it mean to simplify a fraction? To simplify a fraction means to reduce it to its simplest form, where the numerator and denominator have no common factors other than 1.