Mastering Ratios: Simplifying and Sharing

Mastering Ratios: Simplifying and Sharing

Learning objective

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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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