What do ratios represent?

Comparison of different quantities.

How are ratios simplified?

By dividing by the greatest common factor.

No, some ratios cannot be simplified.

To maintain the original relationship between quantities.

It simplifies ratios to their simplest form.

Ratios compare quantities, such as 6 strawberries to 3 oranges, which simplifies to 2:1 after dividing by the greatest common factor, showcasing the importance of simplifying ratios for clarity and understanding.
Maintaining the original order of items in a ratio is crucial, as seen in the basketballs to soccer balls example with a ratio of 5:8 that cannot be further simplified, highlighting the significance of preserving the sequence of items for accurate comparisons.

What do ratios represent?
Comparison of different quantities.
How are ratios simplified?
By dividing by the greatest common factor.
Can all ratios be simplified?
No, some ratios cannot be simplified.
Why is the order of items in a ratio important?
To maintain the original relationship between quantities.
What is the significance of the greatest common factor in ratios?
It simplifies ratios to their simplest form.

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Ratios show the relationship between different amounts, comparing the quantity of one thing to another; for instance, in the example of strawberries to oranges, there are 6 strawberries to 3 oranges, which can be represented as 6:3, 6/3, or simplified to 2:1 after dividing by the greatest common factor of 3.
In the case of basketballs to soccer balls, the ratio is 5:8, which cannot be simplified further as the greatest common factor is 1, emphasizing the importance of maintaining the order of items in the ratio based on their original sequence in the problem.