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## Equivalent Fractions

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**Equivalent Fractions**or “Half of one, Six twelfths of the other”**What is a fraction?**• A fraction is part of a whole that is made up of equal parts.**And here’s the person who ate it.**1 8 • And here is 1/8 of the pizza. 7 8 • Here is 7/8 of the pizza because there are 7 out of 8 slices left. Part of a whole what? • Well, it could be part of a whole object, like the proverbial pizza . . . • Here is a whole pizza.**Was there something else?**• Yes, it could also be part of a whole group of items. • Here is a group of cookies. 1 5 • We could say 1/5 of these cookies are chocolate chip. We could also say that 4/5 are Oreos. 4 5 3 4 • Oops, let’s make that 3/4 are Oreos.**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.**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**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**So that means?**• So that means 2/8 is equivalent to 4/1 . 2 8 4 16 • And we write it this way: = 2 8 4 16**Give us another example.**• Okay, how about: 3 9 1 3 3 9 1 3 =**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**What about dividing?**• Here’s how. 4 20 1 5 ÷ 4 = ÷ 4 4 14 2 7 ÷ 2 = ÷2**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.**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.**Now what?**• Let’s do some practice activities in the computer lab. • Here’s an activity we will do.**Here’s what!**• Open MY COMPUTER.**Then…**• Go to the X DRIVE.**Navigate to our class folder**(Class Files 5th Grade Postman).**Navigate to our class folder**(Class Files 5th Grade Postman).**Navigate to our class folder**(Class Files 5th Grade Postman).**Navigate to our class folder**(Class Files 5th Grade Postman).**Go to VIEW and add a header for your name. Save on the N**DRIVE. Save every few minutes.**1**4 2 8 • Highlight all the cells you need to shade for the first fraction on the first table. =**Right click on the highlighted cells and choose BORDERS AND**SHADING…**Make sure it says APPLY TO: CELL. Then choose a color.**Click OK.**1**4 2 8 • Then, shade the second fraction on the second table. =**1**4 3 • 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. =**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.**Save and print when you are done.**• Are there any questions? • I’ll give you the written directions in the lab. • Let’s go!