Finding the Reciprocal of an Algebraic Fraction
(KS3, Year 8)
How to Find the Reciprocal of an Algebraic Fraction
Question
What is the reciprocal of the algebraic fraction below?Step-by-Step:
1
Make the numerator of the fraction the denominator of the reciprocal. In our example, the numerator of the fraction is x.
2
Make the denominator of the fraction the numerator of the reciprocal. In our example, the denominator of the fraction is y.
Answer:
We have found the reciprocal of the fraction:More Examples of Finding the Reciprocal of an Algebraic Fraction
Algebraic fractions do not just contain single letters.- When an algebraic fraction has a number, we can find the reciprocal:
- When an algebraic fraction has a term, we can find the reciprocal:
- When an algebraic fraction has a expression, we can find the reciprocal:
What Is an Algebraic Fraction?
An algebraic fraction is a fraction which contains letters.Reciprocal When the Numerator Is 1
Consider an algebraic fraction where the numerator is 1: By finding the reciprocal, the denominator becomes 1: But a letter divided by 1 is itself: The reciprocal of a fraction with a numerator of 1 is simply the denominator.Worksheet
This test is printable and sendable