2.2 Multiplying Fractions Using Area © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Indicate the fraction of the shaded region: These 3 fractions are equal because they cover the same area © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Write the equation for the following multiplication Link to Fraction Applet © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice Multiply

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

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 © Copyright all rights reserved to Homework depot: www.BCMath.ca

Link to Fraction Applet Homework: Link to Fraction Applet © Copyright all rights reserved to Homework depot: www.BCMath.ca