Mixed Fractions with Different Denominators

Worksheet Description

The worksheet intended for students to learn how to add or subtract mixed fractions with different denominators. It lists several problems (labeled a to h) that provide pairs of mixed fractions, which students are instructed to either add or subtract. The exercise will require students to first convert these mixed fractions into improper fractions and then to find the least common denominator for each pair in order to perform the arithmetic operation. The format of the worksheet suggests it is part of a series, indicated by “Worksheet 13,” and is likely used in a sequence of lessons on fractions.

The goal of this worksheet is to deepen students’ understanding of fractions, particularly focusing on the skills needed to combine mixed fractions with different denominators. It teaches the importance of finding a common base for comparison or calculation, which is a fundamental concept in fraction operations. Students are encouraged to practice the conversion of mixed numbers to improper fractions and to find the least common multiple of the denominators to simplify the addition or subtraction. Mastery of these techniques is crucial for mathematical proficiency and is often applied in more advanced math, as well as real-world situations involving ratios, proportions, and parts of a whole.