Sums of Different Denominators
Worksheet Description
The worksheet is a math exercise sheet designed for students to practice solving addition problems with mixed numbers and proper fractions. Each question presents two numbers to be added together, with the first number being a mixed number (a whole number plus a fraction) and the second being a proper fraction (a fraction where the numerator is less than the denominator). The worksheet provides ten problems, each with a different set of numbers, and includes space for the student to write the answer. At the bottom of the page, there is a “How Did You Do?” section with emoticons for self-evaluation.
This worksheet is teaching students how to add mixed numbers and proper fractions. It reinforces the concept of converting mixed numbers to improper fractions to facilitate the addition and then simplifying the result back into a mixed number if necessary. This exercise is crucial for building a solid understanding of fractions and mixed numbers, as well as for developing the ability to perform arithmetic operations with them. Additionally, the worksheet helps students practice finding common denominators and encourages them to refine their skills in fraction simplification.
You will add two fractions that contain different denominators. To solve these types of problems you should follow these steps:
- Find a common denominator – This is usually the least common multiple (LCM) of the two denominators. The LCM is the smallest number that both denominators can divide into evenly.
- Convert each fraction to an equivalent fraction that has the common denominator – To do this, multiply the numerator and the denominator of each fraction by the number that you need to get from the original denominator to the common denominator.
- Add the numerators of these new fractions (the denominators should now be the same).
- Simplify the fraction, if necessary.