Mastering Ratios: Simplifying and Sharing
Learning objective
Mastering Ratios: Simplifying and Sharing
Learning objective
Learning Objective
At the end of the lesson, you will be able to simplify ratios and apply them to share quantities in a given ratio.
What do you already know about ratios and how to simplify them?
What is a Ratio?
A ratio compares two quantities, showing how many times one value contains or is contained by the other.
Simplifying Ratios
To simplify a ratio, divide both terms by their greatest common divisor (GCD).
Example: Simplifying
Simplify the ratio 8:12. Divide both by 4 to get 2:3.
What is Sharing a Ratio?
Sharing a ratio involves dividing a quantity into parts proportional to the terms of the ratio.
Example: Sharing
Share £60 in the ratio 2:3. Calculate parts: 2+3=5. Divide £60 by 5, then distribute £24 and £36.
Interactive Exercise
Work in pairs to simplify these ratios: 10:15, 18:24, and 20:5.
Summary and Q&A
We've learnt about simplifying and sharing ratios. Any questions?
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