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Name _________________________________________________ Class _______________ Date _______________ Practice 1-3 Ratios with Fractions 1-3 Ratios with Fractions 2 to 8 as a fraction in simplest form. 3 2 2.A recipe includes 8 cups of flour and cup of sugar. Write the ratio of the 3 amount of flour to the amount of sugar as a fraction in simplest form. 1.Write the ratio 4 9 3.Write the ratio in simplest form. 5 9 1 yd 4.Write the ratio 7 in simplest form. 3 yd 5 1 5.You mix 3 1 quarts of juice with 5 quarts of ginger ale to make fruit 2 4 punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form? 2 1 inches tall. The actual statue is 6 feet 3 2 tall. What is the ratio of the height of the model to the height of the actual statue in simplest form? 6.A model of a famous statue is 2 2 lb 7.a)Writing Write the ratio 3 in simplest form. 4 lb 5 b) Is there more than one way to get the simplest form? Explain. 2 3 8.a)Reasoning Write the ratio in simplest form. 1 2 5 3 b) How is the simplest form of the ratio related to the simplest form of 1 1 5 5 the ratio ? Explain. 2 3 Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. Practice 1-3 1 Homework K 2 9. Error Analysis A covered bridge is 6 yards long. In a painting for sale at a 3 1 gallery, the bridge is 1 feet long. A customer wants to know the ratio of 4 the length of the bridge in the painting to the actual length of the bridge. One salesperson says the ratio in simplest form is 3 . Another salesperson 16 1 says the ratio in simplest form is . 16 a) Which ratio is correct? b) What error leads to the incorrect ratio? ❍❍ A. using terms with different units to find the ratio ❍❍ B. not simplifying the terms of the ratio ❍❍ C. reversing the terms of the ratio 8 10. Distance Ratios Tamar travels mile to the grocery store. Melkon travels 9 4 miles to the grocery store. a) Write the ratio of the distance Melkon travels to the distance Tamar travels as a fraction in simplest form. b) Write the ratio of the distance Tamar travels to the distance Melkon travels as a fraction in simplest form. 11. Mental Math Write the ratio 6 to 8 as a fraction in simplest form. 7 6 ft. 7 Find the ratio of the actual width of the building to the width of the model as a fraction in simplest form. 12. The width of a building is 51 ft. A model of the building has a width of 4 2 cm 5 13. Write the ratio in simplest form. 10 2 cm 17 4 5 14. Think About the Process You have to write a ratio equivalent to where 10 11 both terms are whole numbers. a) By what number can you first multiply each fraction to get a ratio where both terms are whole numbers? ❍❍ A.40 ❍❍ C.10 ❍❍ B.55 ❍❍ D.11 b) Write the ratio in simplest form. 1 3 15. Think About the Process To write the ratio in simplest form, you rewrite 1 1 5 the mixed numbers as improper fractions. 9 a) What is the next step to write the ratio in simplest form? Select the correct terms to complete the following sentence. Multiply each term of the ratio by the greatest common factor/least common multiple of the denominators/numerators of the fractions. b) What is the ratio in simplest form? Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. Practice 1-3 2 Homework K ANSWER KEY Practice 1-3: Ratios with Fractions 1. 1 12 2.12 3. 4 5 4. 5 21 5. 2 3 6. 1 32 7.a) 5 6 b) Answers will vary 8.a) 10 3 b) Answers will vary 9.a) 1 16 b) A 10. a) 9 2 2 b) 9 3 11. 28 12. 119 2 34 13. 25 14. a) B 22 b) 25 15. a) least common multiple, denominators 70 b) 9 Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. Practice 1-3 3 Answer Key K