Whole Numbers Times Fractions

Achievement Objectives
NA4-3: Find fractions, decimals, and percentages of amounts expressed as whole numbers, simple fractions, and decimals.
NA5-3: Understand operations on fractions, decimals, percentages, and integers.
Specific Learning Outcomes

Find fractions of whole number amounts using multiplication and division.

Solve multiplication and division problems that involve fractions.


Description of Mathematics

Number Framework Stages 7 and 8.

Required Resource Materials
Fraction materials.

Using Materials

Problem: “At the supermarket, there are 4 blocks of chocolate in each box. Mel notices that she has 5 boxes, each of which has 3 blocks of chocolate left in them. Mel  decides to tidy up by repackaging them into whole boxes. How many boxes can Mel  make up?”

Write 5 x 3/4 on the board, then build 5 groups of 3 quarters with fraction material, and  arrange the 15 pieces into wholes.


Discuss why 5 x 3/4 = 3 3/4.

Examples: Word problems for: 3 x 3/4,  3 x 2/3,  4 x 2/3,  5 x 4/5

Using Imaging

Examples: Imagine the materials. Word problems for: 10 x 2/3,  2 x 5/7,  15 x 1/5,15 x 1/4

Using Number Properties

Examples: Word problems for: 10 x 4/7,  100 x 1/5,  20 x 2/9,  11 x 3/4


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