How can we solve proportions

using equivalent fractions?

How can we solve proportions using equivalent

fractions?

When two ratios are equivalent, they form a proportion.

Since rates are types of ratios, they can also form proportions.

A proportion is an equation stating that two ratios are equivalent.

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In a proportion, a cross product is the product of the numerator of one ratio and the

denominator of the other ratio

Example: Determine whether and form a proportion using cross products.

The cross products are equal, so the ratios are in proportion.

PRODUCT OF THE MEANS = PRODUCT OF THE EXTREMES.

Example: Determine whether and form a proportion.

The cross products are not equal, so the ratios do not form a proportion.

More Examples

1.) and 2.) and

3.) and 4.) and

You can use cross products to find a missing term in a proportion.

This is known as solving the proportion. Solving a proportion is similar to solving an equation.

Solve:

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= Steps: 1. Write the cross products 2. Multiply 3. Use the inverse operation 4. Round to the nearest hundredth when needed

Steps: 1. Write the cross products 2. Multiply 3. Use the inverse operation 4. Round to the nearest hundredth

More Examples:

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Steps: 1. Write the cross products 2. Multiply 3. Use the inverse operation 4. Round to the nearest hundredth

More Examples:

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Steps: 1. Write the cross products 2. Multiply 3. Use the inverse operation 4. Round to the nearest hundredth

More Examples:

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Try These = =

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You can also reduce each fraction and it will form a proportion.

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