Year 7 - Maths
Ordering fractions by way of a common denominator
Comparing and ordering fractions and decimals (positive and negative)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.
Lesson Summary
You will learn to compare and order fractions by converting to fractions with a common denominator.
Key Notes
- When a fraction is multiplied by 1 it remains the same but may look different.
- Two fractions can be written with the same denominator by using the lowest common multiple.
- Two fractions can be compared when they have the same denominator.
- A list of fractions can be ordered by writing them all as equivalent fractions with the same denominator.
Vocabulary To Learn
- Numerator: The expression in a fraction that is written above the fraction line. It is the dividend.
- Denominator: The expression in a fraction that is written below the fraction line. It is the divisor.
- Lowest common multiple: The lowest common multiple is the lowest number that is a multiple of two or more numbers.
Common Mistakes To Avoid
- Choosing to the find the product of the denominators in order to compare fractions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When a fraction is multiplied by 1 it remains the same but may look different. Two fractions can be written with the same denominator by using the lowest common multiple.
2. Use this key word in a maths sentence and explain it clearly. 'Numerator'
The expression in a fraction that is written above the fraction line. It is the dividend. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Choosing to the find the product of the denominators in order to compare fractions. Correction: Although this is not wrong it can be inefficient. This can be illustrated using large denominators which have a much lower HCF.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers Study Guide
- Checking and securing converting mixed numbers to improper fractions Study Guide
- Checking and securing understanding of fractions Study Guide
- Converting fractions to recurring decimals Study Guide
- Converting fractions to terminating decimals Study Guide
- Converting fractions with technology Study Guide
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals Study Guide
- Ordering fractions by converting Study Guide
- Ordering fractions in different ways Study Guide
- Ordering negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Problem solving with fractions and decimals Study Guide
- Simplifying fractions Study Guide
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.