1 / 8

Example 1

SOLUTION. Write the fraction of jewels in the crown that are emeralds. Then simplify. Number of emeralds. 30. =. Total number of jewels in the crown. 116. Example 1. Writing a Fraction in Simplest Form. HISTORY. One of the Czech Republic’s royal coronation jewels

wes
Download Presentation

Example 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. SOLUTION Write the fraction of jewels in the crown that are emeralds. Then simplify. Number of emeralds 30 = Total number of jewels in the crown 116 Example 1 Writing a Fraction in Simplest Form HISTORY One of the Czech Republic’s royal coronation jewels is decorated with 44 spinels, 30 emeralds, 22 pearls, 19 sapphires, and 1 ruby. Write the fraction of jewels in the crown that are emeralds in simplest form.

  2. 30 2 • 3 5 116 22 • 29 • = = 30 30 ÷ 2 Divide numerator and denominator by GCF. = 116 116 ÷ 2 15 = Simplify. 58 Example 1 Writing a Fraction in Simplest Form METHOD 1 Find and use the GCF of 30 and 116. The GCF of 30 and 116 is 2.

  3. 30 2 • 3 5 • Write prime factorizations. = 116 2 • 2 • 29 1 2 • 3 5 • 15 Divide out common factor and simplify. = = • 2 • 29 2 1 58 ANSWER 15 The fraction of jewels that are emeralds is . 58 Example 1 Writing a Fraction in Simplest Form MEHTOD 2 Use prime factorization.

  4. SOLUTION Write each fraction in simplest form. 3 is in simplest form. 8 18 18 ÷ 6 3 = = 48 48 ÷ 6 8 ANSWER The fractions have the same simplest form, so they are equivalent. Example 2 Identifying Equivalent Fractions 3 18 Tell whether the fractions and are equivalent. 8 48

  5. SOLUTION Multiply or divide the numerator and denominator by the same nonzero number. 4 4  3 12 Multiply numerator and denominator by 3. = = 10 10  3 30 4 4 ÷ 2 2 Divide numerator and denominator by 2, a common factor of 4 and 10. = = 10 10 ÷ 2 5 ANSWER 12 2 4 The fractions and are equivalent to . 30 5 10 Example 3 Writing Equivalent Fractions 4 Write two fractions that are equivalent to . 10

  6. Guided Practice 1 ANSWER 5 7 ANSWER 25 9 ANSWER 25 4 ANSWER 25 for Examples 1, 2, and 3 Of your 25 classmates, 5 prefer apples, 7 prefer oranges, and 9 prefer bananas. Write the fraction of your classmates who prefer the given fruit in simplest form. 1. Apple 2. Orange 3. Banana 4. Other

  7. Guided Practice equivalent ANSWER 10 3 , 6. not equivalent ANSWER 21 7 4 24 , 7. not equivalent ANSWER 6 30 3 , 8. equivalent ANSWER 15 7 35 for Examples 1, 2, and 3 Tell whether the fractions are equivalent. 1 4 5. , 6 24

  8. Guided Practice 1 16 , ANSWER 2 32 18 3 9 , ANSWER 10. 30 5 15 7 5 42 20 10 , ANSWER 11. 6 8 24 48 12 21 , ANSWER 12. 24 for Examples 1, 2, and 3 Write two fractions that are equivalent to the given fraction. 8 9. 16

More Related