Converting Fractions to Decimals - Using Division WORKSHEET
Suitable for Year groups: Year 7, Year 8
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Basic division facts and long division method. Simplifying improper fractions and mixed numbers. Recognising the difference between terminating and recurring decimals.
Learning Objective: Move freely between different fractions and decimals.
Converting Fractions to Decimals - Using Division WORKSHEET DESCRIPTION
Provide students with a clear method for converting fractions into decimals by dividing the numerator by the denominator with this worksheet.
Section A begins with unit fractions, giving learners practice with straightforward examples. Section B moves on to fractions that produce terminating decimals, building fluency with accurate division. Section C introduces recurring decimals, where students see patterns that repeat indefinitely, while Section D extends this further by working with improper fractions and mixed numbers greater than 1. The progression ensures students experience a wide range of fractions, from simple to more complex cases, while reinforcing the principle that any fraction can be expressed as a decimal.
Section A begins with unit fractions, giving learners practice with straightforward examples. Section B moves on to fractions that produce terminating decimals, building fluency with accurate division. Section C introduces recurring decimals, where students see patterns that repeat indefinitely, while Section D extends this further by working with improper fractions and mixed numbers greater than 1. The progression ensures students experience a wide range of fractions, from simple to more complex cases, while reinforcing the principle that any fraction can be expressed as a decimal.
All worksheets are created by the team of experienced teachers at Cazoom Maths.
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Frequently Asked Questions
Students should be comfortable with basic division facts and the long division method, as these are essential for dividing numerators by denominators effectively. They'll also benefit from knowing how to simplify improper fractions and mixed numbers, particularly when tackling the more advanced sections. Understanding the difference between terminating and recurring decimals will help them recognise and interpret their results correctly.