Max Maths, Year 6, Work Book, Mixed numbers

In the Max Maths Year 6 Workbook, Practice 3 is dedicated to the concept of mixed numbers and their relation to improper fractions. The exercises guide students through the process of converting between these two forms. The first task requires students to write improper fractions as mixed numbers. For example, they must convert fractions like 3/2 and 7/4 into their mixed number equivalents, which include a whole number and a proper fraction. Students are presented with a series of fractions to transform, such as 8/3, 7/5, 13/2, and 10/3, among others.

The second set of exercises flips the process, asking students to express mixed numbers as improper fractions. They must take mixed numbers like 1 1/2 and 3 2/3 and rewrite them as single fractions where the numerator is greater than the denominator. Additional examples include converting 2 5/8, 4 1/5, 3 4/7, and 4 2/9 into improper fractions. In the third task, students work on simplifying these conversions to their simplest form, starting with improper fractions such as 6/4, 8/6, and continuing with 10/4, 15/10, 18/8, and 14/6. The fourth activity focuses on division with a remainder to change improper fractions into mixed numbers, providing an example and then setting similar tasks for fractions like 9/2, 21/5, 13/3, 25/4, 31/7, and 38/6. Finally, students are asked to interpret a diagram representing a mixed number and to create their own mixed number on a grid, expressing it both as a mixed number and an improper fraction.