A FRACTION OF A NUMBER IS ANOTHER NUMBER

F∙A=B

EXAMPLE:Five eighths of the gnomes who lived in the magic forest had happy faces. If 840 gnomes had happy faces, how many gnomes lived in the magic forest.

SOLUTION: Change the wording of this problem

of what number is 840?8

5

Remember “of” refers to:and “is” corresponds to “=“

""

13445

6720

5

8

1

8405

8840

8

5

5

8

8408

5

A

A

A

A

SO……

1344 gnomes lived in the forest.

If 840 had happy faces, then 504 did not have happy faces

EXAMPLE:On Monday times the acceptable number of rock badgers took refuge in the mountain caves. If 640 was the acceptable number, how many rock badgers took refuge in the mountain caves on Monday?

SOLUTION: Restate the problem

of 640 is what number?

5

42

5

42

Change to improper fraction

B5

14

5

42

B5

8960

1

640

5

14

B1792

Thus…..A total of 1792 rock badgers took refuge in the mountain caves on Monday

EXAMPLE:When the fog lifted, 400 ghosts were spied skulking near the outskirts. If 240 ghosts were not spied, what fraction of the ghosts was not spied.

SOLUTION: Restate the problem

What fraction of 640 is 240?

Solution

8

3640

240

640

640

240640

F

F

F

Thus… of the ghosts were not spied8

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