Fractions - Multiply a Unit Fraction by an Integer - Worksheet

This worksheet is designed to help children practice multiplying unit fractions by integers. Initially, students are encouraged to use repeated addition as a step towards understanding multiplication of fractions. They are provided with visual aids such as bar models and number lines to assist in their calculations. The tasks ensure that the product does not exceed the value of 1, and students are tasked with simplifying the fractions where possible. As they progress, they encounter problems where the product exceeds 1, and they must convert improper fractions to mixed numbers and further simplify the results.

Further exercises on the worksheet involve applying the concept of multiplying unit fractions by integers in problem-solving contexts. For instance, students may be asked to create word problems based on bar model representations or to identify missing numbers in equations by examining these models. They also work on balancing equations and categorising calculations within a Venn diagram. The worksheet encourages fluency and precision, with a focus on understanding the patterns that emerge when multiplying fractions by whole numbers and simplifying the results, whether they are improper fractions or mixed numbers.