How to Add Mixed Fractions with Different Denominators
Adding mixed fractions with different denominators can be a bit tricky, but with the right steps, it becomes a manageable task. Mixed fractions are made up of a whole number and a proper fraction, and when they have different denominators, you need to find a common denominator before adding them together. In this article, we will guide you through the process of adding mixed fractions with different denominators, step by step.
Step 1: Find the Least Common Denominator (LCD)
The first step in adding mixed fractions with different denominators is to find the least common denominator (LCD) of the fractions. The LCD is the smallest number that is a multiple of both denominators. To find the LCD, you can list the multiples of each denominator and identify the smallest common multiple.
Step 2: Convert the Mixed Fractions to Improper Fractions
Once you have found the LCD, you need to convert the mixed fractions to improper fractions. To do this, multiply the whole number by the denominator and add the numerator. Then, place the result over the denominator.
Step 3: Add the Numerators
After converting the mixed fractions to improper fractions, add the numerators of the fractions together. Remember to keep the denominator the same.
Step 4: Simplify the Result
If the resulting fraction is an improper fraction, you can simplify it by dividing the numerator by the denominator. If the result is a proper fraction, leave it as is.
Step 5: Convert the Improper Fraction Back to a Mixed Fraction
Finally, if the result is an improper fraction, convert it back to a mixed fraction by dividing the numerator by the denominator. The quotient will be the whole number, and the remainder will be the numerator of the proper fraction.
By following these steps, you can easily add mixed fractions with different denominators. Practice these steps, and you’ll be able to solve such problems with confidence. Remember that practice makes perfect, so keep working on your math skills to become more proficient in adding mixed fractions.
