Modelling Multiplication of Fractions

Model Fractions Multiply by a Whole # 4 x 1 6 4 groups of 1 6 = 1 6 + 1 6 + 1 6 + 1 6 = 4 6 ÷ 2 2 = 𝟐 𝟑 = Reduce (simplify)

4 x 2 3 Model Fractions Multiply by a Whole # 4 groups of 2 3 = 2 and 2/3 circles are now shaded = =

Model Fractions Multiply by a Whole # using a number line 6 x 4 5 6 groups of 4 5 = 4 5 + 4 5 + 4 5 + 4 5 + 4 5 + 4 5 4 4 5

Modelling Multiplying Fraction 2 3 x 4 5 draw a 5 by 3 rectangle with 15 total units. Label the columns and rows according to fractions 𝑅𝑒𝑚𝑜𝑣𝑒 𝑛𝑜𝑛−𝑜𝑣𝑒𝑟𝑙𝑎𝑝 𝑠ℎ𝑎𝑑𝑖𝑛𝑔 Fill 4 5 of the columns Fill 2 3 of the 𝑟𝑜𝑤𝑠 The entire rectangle is 15 units and the shaded covers 8 units; therefore 8 15

Multiply Models using tiles “Two-thirds of six-eighths” 6 tiles out of eight 2/3 of these 6 Determine what fraction of the whole is now present

Multiply Models using tiles “One-half of five-sixths” 5 tiles out of six 1/2 of these 5 Determine what fraction of the whole is now present Fractions should never have decimals, so multiply top and bottom by 2. 2.5 6 x 2 2 = 5 12

Classwork Page 108-109 #6, 8, 14 Page 113 #8 #13