Step-by-Step Guide to Adding Three Fractions
Learn how to add three fractions with our easy step-by-step guide and examples.
513 views
To add 3 fractions, first ensure they have a common denominator. For example, with 1/4, 1/6, and 1/3, find the least common denominator (LCD), which is 12. Convert the fractions to have this common denominator: 1/4 becomes 3/12, 1/6 becomes 2/12, and 1/3 becomes 4/12. Then, simply add the numerators: 3 + 2 + 4 = 9. The result is 9/12, which can be simplified to 3/4. This is the summed fraction.
FAQs & Answers
- What is a common denominator and why is it important? A common denominator is a shared multiple of the denominators of two or more fractions. It's important for adding fractions because it allows you to combine them accurately by ensuring that they represent equivalent portions of a whole.
- How do you simplify a fraction after adding? To simplify a fraction after adding, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, if you have 9/12, the GCD is 3, so both the numerator and denominator can be divided by 3 to simplify it to 3/4.
- Can you add fractions with different denominators directly? No, you cannot add fractions with different denominators directly. You must first convert them to a common denominator before adding their numerators.
- What steps should I follow to add three fractions? To add three fractions, follow these steps: 1) Identify the least common denominator (LCD). 2) Convert each fraction to equivalent fractions with the LCD. 3) Add the numerators of the converted fractions. 4) If necessary, simplify the resulting fraction.