# How do you simplify ratios?

Method 1: Divide both sides by each common factor you find in turn.

Method 2: Find the greatest common factor of the two numbers and divide both sides by it.

In this method, we will divide both sides of the ratio by each factor we find in turn.

In this method we find the greatest common factor first, then divide both sides by it.

To find the GCF proceed as follows:

Divide the larger number by the smaller to give a quotient and remainder.

If the remainder is zero then the smaller number is the GCF.

Otherwise repeat with the smaller number and the remainder.

So in our example:

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To simplify ratios, you need to divide both parts of the ratio by their greatest common divisor (GCD). This process reduces the ratio to its simplest form. For example, if you have a ratio of 6:8, you would divide both 6 and 8 by their GCD, which is 2. After simplifying, the ratio becomes 3:4. It's important to ensure that the ratio is simplified to its lowest terms to accurately represent the relationship between the quantities being compared.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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