How to Add Fractions: Step-by-Step Guide
Learn the simple steps to add fractions with different denominators easily. Perfect for students and math enthusiasts.
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To add fractions, first, ensure they have a common denominator. If not, find the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with the LCM as the new denominator. Then, add the numerators while keeping the common denominator. Simplify the resulting fraction if necessary. For example, to add 1/4 and 1/3: LCM of 4 and 3 is 12, so convert 1/4 to 3/12, and 1/3 to 4/12. Add to get 7/12.
FAQs & Answers
- What is the first step in adding fractions? The first step in adding fractions is to ensure that the fractions have a common denominator. If they do not, you need to find the least common multiple (LCM) of the denominators.
- How do you find the LCM of two numbers? To find the LCM of two numbers, list the multiples of each number until you find the smallest multiple that they both share.
- Can you give an example of adding fractions? Sure! To add 1/4 and 1/3, find the LCM of 4 and 3, which is 12. Convert 1/4 to 3/12 and 1/3 to 4/12, then add them to get 7/12.
- How do you simplify the resulting fraction? To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD). For example, if you have 6/12, you can simplify it to 1/2 by dividing both by 6.