Max Maths, Year 5, Learn together, Expressing a remainder as a fraction

In the Max Maths curriculum for Year 5, students learn an important concept in division: expressing a remainder as a fraction. This skill is crucial for understanding how to fully represent the result of a division problem when the numbers do not divide evenly. For example, when dividing 13 by 2, the answer is 6 with a remainder of 1. Instead of leaving the answer as simply 6 remainder 1, students are taught to take the remainder and divide it by the divisor. In this case, 1 divided by 2 equals 1/2. Therefore, the complete answer can be expressed as 6 1/2.

Continuing with this concept, another example provided is dividing 28 by 3. The initial division gives a quotient of 9 with a remainder of 1. To fully express this division, the remainder is divided by the divisor, resulting in 1/3. Consequently, the division of 28 by 3 is accurately represented as 9 1/3. This method of expressing remainders as fractions helps students to understand and work with division more precisely and prepares them for more advanced mathematical concepts. The lesson directs students to workbook page 108 for further practice and application of this technique.