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3. Write fractions in simplest form
Objective
Write fractions in simplest form
Example 3-3b

4. Fractions that have the same value
Vocabulary
Equivalent fractions
Fractions that have the same value
Example 3-3b

5. Vocabulary Simplest form
When the greatest common factor (GCF) of the numerator and denominator is 1
Example 3-3b

6. Example 1 Write Fractions in Simplest Form
Example 3 Use Fractions to Solve a Problem
Lesson 3 Contents

7. Prime factor both the numerator and denominator
Write in simplest form.
Prime factor both the numerator and denominator 2 12 5 45 2 6 3 9 3 3
Circle factors that are common in each number and write as factors
GCF = 3 3
Multiply common factors
There is only one common factor so it is the GCF
1/3
Example 3-1a

8. Divide the numerator by the GCF of 3
Write in simplest form.
Divide the numerator by the GCF of 3
Divide the denominator by the GCF of 3
Answer:
1/3
Example 3-1a

9. Write in simplest form.
Answer:
1/3
Example 3-1b

10. Prime factor both the numerator and denominator
Write in simplest form.
Prime factor both the numerator and denominator 40 2 2 64 2 20 2 32 2 10 2 16 5 2 8 2 4
Circle factors that are common in each number and write as factors 2
2 
2  2
Multiply common factors
GCF = 8 8
Identify as GCF
2/3
Example 3-2a

11. Divide the numerator by the GCF of 8
Write in simplest form.
GCF = 8
Divide the numerator by the GCF of 8
Divide the denominator by the GCF of 8
Answer:
2/3
Example 3-2a

12. Write in simplest form.
Answer:
2/3
Example 3-2b

13. Prime factor both numbers to find the GCF of 294 and 392
MUSIC Two notes form a perfect fifth if the simplified
fraction of the frequencies of the notes equals If note Hertz and note Hertz, do they form a perfect fifth?
Form fraction
Prime factor both numbers to find the GCF of 294 and 392
3/3
Example 3-3a

14. Circle factors that are common in each number and write as factors 2
294
392 2 3
147 2
196 7 49 2 98 7 7 49 7
Circle factors that are common in each number and write as factors
Multiply the common factors
2 
7  7
Identify as GCF
GCF = 98 98
3/3
Example 3-3a

15. Do they form a perfect fifth?
GCF = 98
Do they form a perfect fifth?
294  98
392  98
Divide the numerator by the GCF of 98
Divide the denominator by the GCF of 8 3 4
MUSIC Two notes form a perfect fifth if the simplified
fraction of the frequencies of the notes equals
Answer: Yes they form a perfect fifth
3/3
Example 3-3a

16. *
MARBLES In a bag of 96 marbles, 18 of the marbles are black. Write the fraction of black marbles in simplest form.
Answer:
3/3
Example 3-3b

17. Simplifying Fractions
Assignment
Lesson 5:3
Simplifying Fractions
All
End of Lesson 3