A-LevelMaths

A-Level Maths Fractions Revision Notes

Master A-Level Maths Fractions using simple revision notes, key facts and practice questions — all generated by AI for your exam.

Fractions are numerical quantities that represent a part of a whole. They consist of a numerator and a denominator, which indicate how many parts are taken from a specified total. Understanding fractions is essential for various mathematical concepts including ratios, proportions, and algebra.

Key Concepts

  • 1A fraction consists of a numerator (top number) and a denominator (bottom number).
  • 2Fractions can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
  • 3To add or subtract fractions, they must have a common denominator.
  • 4Multiplying fractions involves multiplying the numerators together and the denominators together.
  • 5Dividing fractions requires multiplying by the reciprocal of the divisor.

Simple Explanation

A fraction shows how many parts of a whole you have. The top part is called the numerator, and it tells you how many parts you have. The bottom part is called the denominator, and it tells you how many equal parts the whole is divided into. For example, in the fraction 3/4, you have 3 parts out of 4 equal parts.

Memory Trick

Remember 'Top Heavy' for numerators and 'Down Low' for denominators to keep track of where each part of the fraction goes.

Flashcards

Question1 / 5

What is the numerator in a fraction?

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Exam Questions

Describe and explain how to add fractions with different denominators. [6 marks]

6 marks
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Identify the need for a common denominator, demonstrate finding the common denominator, show the addition of numerators, and simplify if necessary.

Explain how to multiply fractions. [4 marks]

4 marks
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State the method of multiplying numerators and denominators, and provide an example.

What is meant by simplifying a fraction? [2 marks]

2 marks
View mark scheme hint

Define simplifying and mention the process of finding the GCD.

Practice Quiz

Question 1 of 5Score: 0

What is the simplified form of 8/12?

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