Equivalent Fractions

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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.

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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.

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, lets 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. Lets 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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Im with you. Whats next?

• Now, lets 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 .

2 8
4 16

• And we write it this way

4 16
2 8
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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?

• Heres how.

4 20
1 5
4

4
4 14
2 7
2

2
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What if youre 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 theyre 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?

• Lets do some practice activities in the computer
  lab.
• Heres an activity we will do.

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Heres 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. 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?
• Ill give you the written directions in the lab.
• Lets go!