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**or “Half of one, Six twelfths of the other”**

Equivalent Fractions or “Half of one, Six twelfths of the other”

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What is a fraction? A fraction is part of a whole that is made up of equal parts.

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**Part of a whole what? And here’s the person who ate it.**

Well, it could be part of a whole object, like the proverbial pizza . . . Here is a whole pizza. And here is 1/8 of the pizza. 1 8 Here is 7/8 of the pizza because there are 7 out of 8 slices left. 7 8

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**Was there something else?**

Yes, it could also be part of a whole group of items. Here is a group of cookies. We could say 1/5 of these cookies are chocolate chip. We could also say that 4/5 are Oreos. 1 5 4 5 3 4 Oops, let’s make that 3/4 are Oreos.

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**So, what are equivalent fractions?**

Well, sometimes an object or a group of items can be divided differently, and fractions can name the same amount.

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Say, what? Okay, try this. Let’s take a rectangle and divide it into 8 parts. Now, if we color 2 parts, we say that 2/8 of the rectangle are shaded. 2 8

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**I’m with you. What’s next?**

Now, let’s take that same rectangle and divide it into 16 parts. If we color 4 parts, we say that 4/1 of the rectangle are shaded. 4 16

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**So that means? So that means 2/8 is equivalent to 4/1 .**

16 And we write it this way: = 2 8 4 16

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**Give us another example.**

Okay, how about: 3 9 1 3 3 9 1 3 =

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**How do you find equivalent fractions?**

You can multiply (or divide), but you must multiply (or divide) both the numerator AND denominator by the same number. 1 4 3 12 x3 = x3 2 5 4 10 x2 = x2

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What about dividing? Here’s how. 4 20 1 5 ÷ 4 = ÷ 4 4 14 2 7 ÷ 2 = ÷2

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What if you’re not sure? Here is how you can check to see if two fractions are equivalent. You can “cross-multiply.” 5 x 2 = 10 1 5 2 10 = 1 x 10 = 10 Since both products are the same, these two fractions are equivalent.

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**How do you know if they’re not equivalent?**

Here is an example. You still “cross-multiply.” 3 x 4 = 12 2 3 4 5 = 2 x 5 = 10 Since both products are NOT the same, these two fractions are NOT equivalent.

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**Now what? Let’s do some practice activities in the computer lab.**

Here’s an activity we will do.

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Here’s what! Open MY COMPUTER.

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Then… Go to the X DRIVE.

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**Navigate to our class folder**

(Class Files 5th Grade Postman).

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**Navigate to our class folder**

(Class Files 5th Grade Postman).

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**Navigate to our class folder**

(Class Files 5th Grade Postman).

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**Navigate to our class folder**

(Class Files 5th Grade Postman).

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**It will look something like this.**

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**Go to VIEW and add a header for your name. Save on the N DRIVE**

Go to VIEW and add a header for your name. Save on the N DRIVE. Save every few minutes.

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**Highlight all the cells you need to shade for the first fraction on the first table.**

1 2 4 8 =

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**Right click on the highlighted cells and choose BORDERS AND SHADING…**

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**Make sure it says APPLY TO: CELL. Then choose a color. Click OK.**

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**Then, shade the second fraction on the second table.**

1 2 4 8 =

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**Continue until you have completed all the examples**

Continue until you have completed all the examples. On some you will need to complete one or more of the fractions. Just click where the number goes, and type. 1 3 4 =

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**On the last one, you need to create your own tables**

On the last one, you need to create your own tables. Go to TABLE on the menu bar. Drag down to INSERT. Drag across to TABLE.

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**Choose the number of columns and rows you will need.**

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**Save and print when you are done.**

Are there any questions? I’ll give you the written directions in the lab. Let’s go!

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Equivalent Fractions Lesson 4-2.

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