Half Hearted

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Find the number which when added to the top (numerator) and bottom (denominator) of each fraction make it equivalent to one half. more...


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Topics: Starter | Algebra | Fractions

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  • It must seem strange to so many people that you can multiply the top and bottom of a fraction by the same number and the fraction's value remains the same but when you add the same number to top and bottom the fraction's value changes.

    Then we think of equations and the rules are different. You can multiply or add to both sides and the equation remains balanced.

    What is your best explanation for that?

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Answers

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Extension activities

Find the number which when added to the numerator and denominator of each of the fractions above make them equivalent to one third.


What should be added to the numerator and denominator of the fraction whose numerator is n and denominator is d to make it equivalent to one half?


What should be added to the numerator and denominator of the fraction whose numerator is n and denominator is d to make it equivalent to one third?



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Laptops In Lessons

Teacher, do your students have access to computers?
Do they have iPads or Laptops in Lessons?

Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Laptops In Lessons

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Here is the URL which will take them to a related student activity.

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Student Activity


A glass ½ full = A glass ½ empty

Multiply both sides by two

A full glass = An empty glass

 

 

Extension Answers




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Example

Adding two to the numerator and denominator of one quarter produces a fraction equivalent to one half.

 

Half Hearted Examplde

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