Multiplying Fractions
2/3 * 3/4
1/2
3/4 divided by 1/2
1 1/2
When multiplying two fractions, should you expect the product to be greater than, less than, or equal to both factors?
Usually less than both factors when both fractions are between 0 and 1.
Mia has 12 feet of ribbon. She uses 1/4 of the ribbon for a project. How many feet of ribbon does she use?
3 ft
5/6 * 2/5
1/3
5/6 divided by 5/12
2
Why does multiplying by 1/2 make a number smaller?
Because you are finding one-half of the original amount, which means your original number doubles.
A recipe calls for 3/4 cup of flour. Jay wants to make 2 batches. How much flour does he need?
2 1/3 * 3/7
1
2 1/2 divided by 5/8
4
Which operation asks, essentially, “How many groups of this size can fit into the given amount?”
Division
A board is 6 1/2 feet long. It is cut into pieces that are each 1/2 foot long. How many pieces can be made?
13 pieces
Without using a calculator, determine which is greater:
2 1/3 * 3/4
or
1 3/4 * 2/3
They are equal to 1 3/4
A student says 3/4 divided by 2/5 is equal to 3/8
Is the student correct? If not, what is the correct answer?
No. The correct answer is 1 7/8
A student says, “Dividing by a fraction always makes the answer smaller.” Is the student correct?
No. Dividing by a fraction less than 1 makes the answer larger.
A farmer has 4 1/2 acres of land. He uses 2/3 of the land to grow vegetables. How many acres are used for vegetables?
3 acres
What are the four steps in the problem solving template?
Understand, Plan, Solve, Check