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Transparency 3. Click the mouse button or press the Space Bar to display the answers. Splash Screen. Example 3-3b. Objective. Write fractions in simplest form. Example 3-3b. Vocabulary. Equivalent fractions. Fractions that have the same value. Example 3-3b. Vocabulary. Simplest form. - PowerPoint PPT Presentation
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Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
Objective
Write fractions in simplest form
Vocabulary
Equivalent fractions
Fractions that have the same value
Vocabulary
Simplest form
When the greatest common factor (GCF) of the numerator and denominator is 1
Example 1 Write Fractions in Simplest Form
Example 2 Write Fractions in Simplest Form
Example 3 Use Fractions to Solve a Problem
Write in simplest form.
12 45
Prime factor both the numerator and denominator
262
3
593
3
3
1/3
Circle factors that are common in each number and write as factors
Multiply common factors
There is only one common factor so it is the GCF
GCF = 3
Write in simplest form.
Divide the numerator by the GCF of 3
Answer:
1/3
Divide the denominator by the GCF of 3
GCF = 3
Write in simplest form.
Answer:
1/3
Write in simplest form.
Prime factor both the numerator and denominator
40 642202
102
5
2
32216282422
2 2 2
8
2/3
Circle factors that are common in each number and write as factors
Multiply common factorsIdentify as GCF GCF = 8
Write in simplest form. GCF = 8
2/3
Divide the numerator by the GCF of 8
Divide the denominator by the GCF of 8
Answer:
Write in simplest form.
Answer:
2/3
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
294 3922
1473497
7
21962
982
4977
2 7 7
98GCF = 98
3/3
Circle factors that are common in each number and write as factors
Multiply the common factors
Identify as GCF
294 98
392 98
GCF = 98
3
4
Do they form a perfect fifth?
3/3
Divide the numerator by the GCF of 98
Divide the denominator by the GCF of 8
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
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
Assignment
Lesson 5:3 Simplifying Fractions 8 - 28 All
