![Page 1: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/1.jpg)
Equivalent Fractions
or
“Half of one,
Six twelfths of the other”
![Page 2: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/2.jpg)
What is a fraction?
• A fraction is part of a whole that is made up of equal parts.
![Page 3: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/3.jpg)
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.
18• Here is 7/8 of the pizza because
there are 7 out of 8 slices left.
78
And here’s the person who ate it.
![Page 4: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/4.jpg)
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.
15
45
34
![Page 5: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/5.jpg)
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.
![Page 6: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/6.jpg)
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.
28
![Page 7: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/7.jpg)
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.
416
![Page 8: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/8.jpg)
So that means?
• So that means 2/8 is equivalent to 4/1 .
• And we write it this way:
=
28
416
416
28
![Page 9: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/9.jpg)
Give us another example.
• Okay, how about:
=
39
13
39
13
![Page 10: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/10.jpg)
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.
14 x3
x3
=3
12
25 x2
x2
=4
10
![Page 11: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/11.jpg)
What about dividing?
• Here’s how.
420 ÷ 4
÷ 4
=15
414 ÷2
÷ 2
=27
![Page 12: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/12.jpg)
What if you’re not sure?
• Here is how you can check to see if two fractions are equivalent.
• You can “cross-multiply.”
15
210
=
5 x 2 = 10
1 x 10 = 10
• Since both products are the same, these two fractions are equivalent.
![Page 13: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/13.jpg)
How do you know if they’re not equivalent?
• Here is an example. You still “cross-multiply.”
23
45
=
3 x 4 = 12
2 x 5 = 10
• Since both products are NOT the same, these two fractions are NOT equivalent.
![Page 14: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/14.jpg)
Now what?
• Let’s do some practice activities in the computer lab.
• Here’s an activity we will do.
![Page 15: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/15.jpg)
• Open MY COMPUTER.
Here’s what!
![Page 16: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/16.jpg)
• Go to the X DRIVE.
Then…
![Page 17: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/17.jpg)
• Navigate to our class folder (Class Files 5th Grade Postman).
![Page 18: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/18.jpg)
• Navigate to our class folder (Class Files 5th Grade Postman).
![Page 19: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/19.jpg)
• Navigate to our class folder (Class Files 5th Grade Postman).
![Page 20: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/20.jpg)
• Navigate to our class folder (Class Files 5th Grade Postman).
![Page 21: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/21.jpg)
It will look something like this.
![Page 22: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/22.jpg)
• Go to VIEW and add a header for your name. Save on the N DRIVE. Save every few minutes.
![Page 23: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/23.jpg)
• Highlight all the cells you need to shade for the first fraction on the first table.
1
2
4
8=
![Page 24: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/24.jpg)
• Right click on the highlighted cells and choose BORDERS AND SHADING…
![Page 25: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/25.jpg)
• Make sure it says APPLY TO: CELL. Then choose a color. Click OK.
![Page 26: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/26.jpg)
• Then, shade the second fraction on the second table.
1
2
4
8=
![Page 27: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/27.jpg)
• 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=
![Page 28: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/28.jpg)
• 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.
![Page 29: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/29.jpg)
• Choose the number of columns and rows you will need.
![Page 30: Equivalent Fractions or “Half of one, Six twelfths of the other”](https://reader036.vdocuments.us/reader036/viewer/2022062417/551b2a40550346dd1a8b4a7b/html5/thumbnails/30.jpg)
• Save and print when you are done.
• Are there any questions?
• I’ll give you the written directions in the lab.
• Let’s go!