Converting Fractions to Decimals - Using Equivalent Fractions WORKSHEET
Suitable for Year groups: Year 7, Year 8
GCSE Tier: Foundation
Targeting grades: 1-3
Prerequisite knowledge: Factors and multiples. Simplifying fractions and finding equivalent fractions. Place value understanding of tenths, hundredths, and thousandths.
Converting Fractions to Decimals - Using Equivalent Fractions WORKSHEET DESCRIPTION
Provide students with a step-by-step route to converting fractions into decimals by using equivalent fractions with this worksheet.
Section A starts with straightforward practice, where fractions with denominators of 10, 100, or 1000 are written directly as decimals. Section B builds on this by asking students to consider factors of 10, 100, and 1000 before using these answers to find equivalent fractions with denominators of powers of 10. Section C then develops fluency with a wider variety of fractions, asking learners to convert them into decimals through equivalent forms. Finally, Section D extends the learning with reasoning and problem-solving tasks, including comparisons and explanations of when the method does not work.
The gradual build-up from routine conversions to deeper reasoning makes this resource ideal for strengthening understanding of the relationship between fractions and decimals.
Section A starts with straightforward practice, where fractions with denominators of 10, 100, or 1000 are written directly as decimals. Section B builds on this by asking students to consider factors of 10, 100, and 1000 before using these answers to find equivalent fractions with denominators of powers of 10. Section C then develops fluency with a wider variety of fractions, asking learners to convert them into decimals through equivalent forms. Finally, Section D extends the learning with reasoning and problem-solving tasks, including comparisons and explanations of when the method does not work.
The gradual build-up from routine conversions to deeper reasoning makes this resource ideal for strengthening understanding of the relationship between fractions and decimals.
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This fraction, decimal and percentage equivalence and converting worksheet is designed for students in Year 7 and Year 8 and aligns with the UK National Curriculum.