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Multiplying and Dividing Rational Numbers

Rational Numbers

- The term Rational Numbers refers to any number

that can be written as a fraction. - This includes fractions that are reduced,

fractions that can be reduced, mixed numbers,

improper fractions, and even integers and whole

numbers. - An integer, like 4, can be written as a fraction

by putting the number 1 under it.

Multiplying Fractions

- When multiplying fractions, they do NOT need to

have a common denominator. - To multiply two (or more) fractions, multiply

across, numerator by numerator and denominator by

denominator. - If the answer can be simplified, then simplify

it. - Example
- Example

Simplifying Diagonally

- When multiplying fractions, we can simplify the

fractions and also simplify diagonally. This

isnt necessary, but it can make the numbers

smaller and keep you from simplifying at the end. - From the last slide
- An alternative

You do not have to simplify diagonally, it is

just an option. If you are more comfortable,

multiply across and simplify at the end.

Mixed Numbers

- To multiply mixed numbers, convert them to

improper fractions first.

Sign Rules

- Remember, when multiplying signed numbers...

Positive Positive

Positive.

Negative Negative

Positive.

Positive Negative

Negative.

Try These Multiply

- Multiply the following fractions and mixed

numbers

Solutions Multiply

Solutions (alternative) Multiply

Note Problems 1, 2 and 4 could have been

simplified before multiplying.

Dividing Fractions

- When dividing fractions, they do NOT need to have

a common denominator. - To divide two fractions, change the operation to

multiply and take the reciprocal of the second

fraction (flip the second fraction).

Keep-Change-Change.

Dividing Fractions

- Finish the problem by following the rules for

multiplying fractions.

Try These Divide

- Divide the following fractions mixed numbers

Solutions Divide

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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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