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Learn how to write ratios in simplest form and determine if two ratios are equivalent. Practice exercises included.

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  1. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 1-5b Objective Write ratios as fractions and determine whether two ratios are equivalent

  4. Example 1-5b Vocabulary Equivalent ratios Two ratios that have the same value

  5. Example 1-5b Vocabulary Ratio A comparison of two numbers by division

  6. Lesson 1 Contents Example 1Write Ratios in Simplest Form Example 2Write Ratios in Simplest Form Example 3Write a Ratio by Converting Units Example 4Compare Ratios

  7. Answer: Example 1-1a Write the ratio 30 to 9 as a fraction in simplest form. Write the ratio as a fraction. Find GCF of 30 and 9 to simplify  3  3 GCF = 3 Divide GCF into numerator and denominator Note: Ratio is always in fraction form 1/4

  8. Answer: Example 1-1b Write the ratio 35 to 20 as a fraction in simplest form. 1/4

  9. Answer: Example 1-2a Write the ratio 4:24 as a fraction in simplest form. Write the ratio as a fraction. Find GCF of 4 and 24 to simplify  4  4 GCF = 4 Divide GCF into numerator and denominator 2/4

  10. Answer: Example 1-2b Write the ratio 9:36 as a fraction in simplest form. 2/4

  11. Example 1-3a Write the ratio 3 feet to 8 inches as a fraction in simplest form. Write the ratio as a fraction. Must have same units so convert to smallest unit which is inches 3 feet = inches Bring down 8 inches 3/4

  12. Answer:The ratio is Example 1-3a Cancel out inches Find GCF of 36 and 8 to simplify  4 GCF = 4  4 Divide GCF into numerator and denominator 3/4

  13. Answer: Example 1-3b Write the ratio 4 feet to 20 inches as a fraction in simplest form. 3/4

  14. Example 1-4a Determine whether 12:15 and 32:40 are equivalent. Write each ratio as a fraction. = ? Write a proportion with the ratios Cross multiply 12(40) = 15(32) Multiply both sides of = sign 480 = 480 The value is the same on each side of the = sign Answer: The ratios are equivalent 4/4

  15. Example 1-4b Determine whether 8:24 and 14:42 are equivalent. Answer:The ratios are equivalent 4/4

  16. End of Lesson 1 Assignment

  17. Example 1-5a POOLS It is recommended that no more than one person be allowed into the shallow end of an outdoor public pool for every 15 square feet of surface area. If a local pool’s shallow end has a surface area of 1,800 square feet, are the lifeguards correct to allow 120 people into that part of the pool? Write 2 ratios using the information in the problem 1 120 = ? 15 1800 Make a proportion

  18. Example 1-5a POOLS It is recommended that no more than one person be allowed into the shallow end of an outdoor public pool for every 15 square feet of surface area. If a local pool’s shallow end has a surface area of 1,800 square feet, are the lifeguards correct to allow 120 people into that part of the pool? 1 120 = ? Cross multiply 15 1800 1(1800) = 15(120) Multiply both sides of = sign 1(1800) = 15(120) 1800 = 1800 The ratios are equivalent Answer:

  19. Example 1-5b * WALLPAPER The instructions on a particular brand of wallpaper suggest using 1 quart of wallpaper paste for every 30 square feet of wallpaper hung. Bill purchases 8 quarts of wallpaper paste to complete a job that requires hanging 256 square feet of wallpaper. Is Bill using the proper amount of paste? Answer:no, because the ratios are not equivalent

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