1. 2.2 Multiplying Fractions Using Area
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2. Simplifying Fractions
The common factor is 4
Put the boxes into groups of 4
The common factor is 6
The common factor is 7
Reduce the cuts by grouping every 2 column
The greatest common
factor is 14
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3. Ex: Indicate the fraction of the shaded region:
These 3 fractions are equal because they cover the same area
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4. Link to Fraction Applet
II) Unit Square
Each side of an unit square is 1 unit long The area of an unit square is 1unit2 If you cut each side in half, and shade only ½ the columns and ½ the rows, the overlapping area will be the product
Overlapping Area
The overlapping area
is ¼ of the unit square
Link to Fraction Applet
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5. Rules for Multiplying with Manipulatives:
The denominators indicate how many rows or columns to split each side into
The numerators indicate how many rows or columns to shade in
The product will be the fraction of overlapping boxes
Ex: Multiply
Split the unit box into
8 columns and 6 rows
7 columns are shaded
5 rows are shaded
35 out of 48 boxes
overlapp
Link to Fraction Applet
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6. Practice: Multiply the following fractions using manipulatives
9 columns and 8 rows
10 columns and 9 rows
4 columns are shaded
3 columns are shaded
6 rows are shaded
5 rows are shaded
The overlapping pieces can be shifted to reduce
the number of cuts
Rearrange the pieces to to reduce the number of cuts
Link to Fraction Applet
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7. Ex: Write the equation for the following multiplication
Link to Fraction Applet
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8. Multiplying Fractions
Simplify each fraction by cancelling out common factors
Multiply the numerators (Top) together and then the denominators (bottom) together
Check your answer by estimating
Ex: Multiply the following fractions
Simplify each fraction
Multiply the tops together
Multiply the bottoms together
Simplify, if possible
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9. Practice: Multiply Simplify each fraction Multiply the tops together
Multiply the bottoms together
Simplify, if possible
Simplify each fraction
Multiply the tops together
Multiply the bottoms together
Simplify, if possible
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10. Practice Multiply

11. Link to Fraction Applet
Ex: Jason spent 2/3 of his money on books. He then spent ¼ of the rest on shoes. What percentage of his savings does he have?
Take 2/3 away from the unit square
1/3 of his money is left
Take away ¼ of the money left
3 out of 12 units left
Jason has still 25% of his savings
Link to Fraction Applet
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12. Link to Fraction Applet
Mandy bought some donuts and left it in the staff room. One hour later, 3/5 of the donuts were eaten. When she returned another hour later, 2/3 of the remaining donuts were gone and four donuts were left. How Mandy donuts did Mandy buy?
Take 3/5 away from the unit square
2/3 of the remaining donuts were gone
2 out of 15 boxes are left
If 4 donuts are left, then each yellow box represents 2 donuts
Mandy bought 30 donuts
Link to Fraction Applet
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13. Link to Fraction Applet
Homework:
Link to Fraction Applet
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