Adding And Subtracting Fractions With Unlike Denominators Word Problems Pdf
Adding and subtracting fractions with unlike denominators word problems can be a challenging task for many students. However, with the right approach and a bit of practice, it becomes easy to solve such problems. In this article, we will discuss some tips and tricks that can help you solve word problems related to adding and subtracting fractions with unlike denominators. We will also include some examples and practice problems to help you apply what you have learned.
What are Fractions with Unlike Denominators?
Before we dive into word problems, let us first understand what are fractions with unlike denominators. Fractions with unlike denominators are fractions where the denominator, which is the bottom number, of each fraction is different. For example, ¼ and ⅓ are fractions with unlike denominators.
Adding Fractions with Unlike Denominators Word Problems
Adding fractions with unlike denominators can be a bit tricky, but with some practice, you can easily solve word problems related to them. Let us take an example:
Samantha has ⅓ of a pie left, and her friend Emily has ¼ of a pie left. How much pie do they both have together?
To solve this problem, we need to make the denominators the same. In this case, we can convert ⅓ to 4/12 and ¼ to 3/12. Now we can add them together:
4/12 + 3/12 = 7/12
Therefore, Samantha and Emily together have 7/12 of a pie left.
Subtracting Fractions with Unlike Denominators Word Problems
Subtracting fractions with unlike denominators is similar to adding fractions with unlike denominators. Let us take an example:
Bill has ⅔ of a pizza left, and he gives ¼ of a pizza to his friend. How much pizza does Bill have left?
To solve this problem, we need to make the denominators the same. In this case, we can convert ⅔ to 8/12 and ¼ to 3/12. Now we can subtract:
8/12 - 3/12 = 5/12
Therefore, Bill has 5/12 of a pizza left.
Practice Problems
Let us practice some problems related to adding and subtracting fractions with unlike denominators:
1) If John has ⅗ of a cake left, and his sister has ⅙ of a cake left, how much cake do they have together?
2) Tom has ⅞ of a pizza left, and his friend Mike has ⅜ of a pizza left. How much pizza do they both have together?
3) If Alex had ⅔ of a candy bar and he gave ¼ of the candy bar to his friend, how much candy bar does he have left?
Tips and Tricks
Here are some tips and tricks that you can use to solve adding and subtracting fractions with unlike denominators word problems:
1) Convert the fractions to equivalent fractions with the same denominator.
2) Always make sure to simplify the fractions when possible.
3) Always double-check your answer by adding or subtracting the fractions again.
Conclusion
Adding and subtracting fractions with unlike denominators word problems might seem intimidating, but with practice and the right approach, they become easy to solve. Remember to convert the fractions to equivalent fractions with the same denominator, simplify the fractions when possible, and double-check your answer. By following these tips and tricks, you can successfully solve any word problem related to adding and subtracting fractions with unlike denominators.