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Contents Lesson 5-3Simplifying Fractions

Lesson 3 Contents Example 1Write Fractions in Simplest Form Example 2Write Fractions in Simplest Form Example 3Use Fractions to Solve a Problem

Example 3-1a Write in simplest form. First, find the GCF of the numerator and denominator. factors of 12: 1, 2, 3, 4, 6, 12 factors of 45: 1, 3, 5, 9, 15, 45 The GCF of 12 and 45 is 3. Then, divide the numerator and the denominator by the GCF.

Example 3-1a CheckMultiply the numerator and denominator of the answer by the GCF. The result should be the original fraction. Answer: So, written in simplest form is

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

Example 3-2a Write in simplest form. Answer: written in simplest form is

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

Example 3-3a 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? The slashes mean that part of the numerator and part of the denominator are both divided by the same number. For example,

Example 3-3a Answer: The fraction of the frequency of the notes D and G is So, the two notes do form a perfect fifth.

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

End of Lesson 3

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