How to Add Fractions: A Step-by-Step Guide
Learn the simple steps to add fractions with ease, including finding common denominators and simplifying.
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To add fractions, ensure they have a common denominator. If not, find the least common multiple (LCM) of the denominators. Convert each fraction to have this common denominator by adjusting the numerators accordingly. Once the fractions have the same denominator, add the numerators while keeping the denominator constant. Simplify the resulting fraction if possible. For example, adding 1/4 and 1/6 involves finding the LCM, which is 12. Convert to 3/12 and 2/12, then add to get 5/12.
FAQs & Answers
- What is a common denominator in fraction addition? A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added together. It ensures that the fractions are expressed in equivalent terms.
- How do you find the least common multiple (LCM) for fractions? To find the LCM for the denominators of the fractions you want to add, list the multiples of each denominator and identify the smallest multiple that appears in both lists.
- Can you simplify fractions after adding them? Yes, after adding fractions, it is often possible to simplify the resulting fraction by dividing the numerator and denominator by their greatest common factor (GCF).
- What is an example of adding fractions with different denominators? For example, to add 1/4 and 1/6, find the LCM of 4 and 6, which is 12, convert the fractions to 3/12 and 2/12, and then add them to get 5/12.