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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? 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 Here is 7/8 of the pizza because there are 7 out of 8 slices left And here’s the person who ate it.

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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. 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. 2828

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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. And we write it this way: =

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Give us another example. Okay, how about: =

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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 x3 = x2 = 4 10

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What about dividing? Here’s how ÷ 4 = ÷2÷2 ÷ 2 = 2727

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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 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 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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Open MY COMPUTER. Here’s what!

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Go to the X DRIVE. Then…

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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. Save every few minutes.

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

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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 =

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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 =

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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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