Max Maths, Year 5, Work Book, Fractions as division

In the Max Maths workbook for Year 5, Practice 7 focuses on understanding fractions as a form of division. The exercises are designed to help students visualise how dividing whole numbers can be represented as fractions. The first task requires students to rewrite division problems as fractions, with the dividend becoming the numerator (the top number of a fraction) and the divisor becoming the denominator (the bottom number of a fraction). For example, when dividing 2 by 3, 2 becomes the numerator and 3 becomes the denominator, resulting in the fraction 2/3. Similarly, dividing 7 by 11 gives us the fraction 7/11, and 6 divided by 13 is represented as 6/13. The exercise also includes an example where the division of 5 by 4 is shown as the fraction 5/4, which can also be written as 1 1/4, demonstrating the concept of improper fractions and mixed numbers.

The second part of the practice involves completing a series of division problems by expressing them as fractions. Students are given division statements such as 12 divided by 7, 10 divided by 3, and 3 divided by 2, and they must convert these into their corresponding fractional forms. This section covers a variety of divisions, including those that result in improper fractions and mixed numbers. For instance, 12 ÷ 7 becomes 12/7, and 10 ÷ 3 is written as 10/3. These exercises not only reinforce the concept of fractions as division but also provide an opportunity for students to practice simplifying fractions and converting between improper fractions and mixed numbers where applicable.