Basic Mathematics for College Students

7. Consider the ratio. By what number should we
   multiply numerator and denominator to make this a
   ratio of whole numbers?


8. What should be done to write the ratio in
   simplest form?


9. Write so that it compares the same units
   and then simplify.


10. a. Consider the rate. What division should
    be performed to find the unit rate in dollars per
    hour?
    b. Suppose 3 pairs of socks sell for $7.95:.
    What division should be performed to flnd the
    unit price of one pair of socks?


11. Write the ratio of the flag’s length to its width
    using a fraction, using the word to,and using a
    colon.


12. The rate can be expressed as

• 55 (in three words)


• 55 / (in two words with a slash)


• 55 (in three letters)

Write each ratio as a fraction.See Example 1.

13. to 8 14. to 23

15. 11  16 16. 9  25

Write each ratio as a fraction in simplest form.See Example 2.

17. 25 to 15 18. 45 to 35

19. 63  36 20. 54  24

21. 22  33 22. 14  21

23. 17 to 34 24. 19 to 38

5 3

GUIDED PRACTICE

55 miles

1 hour

9

inches

13 inches

NOTATION

$7.95

3 pairs^

$248

16 hours

11 minutes

1 hour

15 inches

22 inches

0.5

0.6^ Write each ratio as a fraction in simplest form.See Example 3.

25. 4 ounces to 12 ounces 26. 3 inches to 15 inches


26. 24 miles to 32 miles 28. 56 yards to 64 yards

Write each ratio as a fraction in simplest form.See Example 4.

29. 0.3 to 0.9 30. 0.2 to 0.6


30. to 32. 2.4 to 1.5

33. 3.87.8 34. 4.28.2

35.  36. 5 22.5

Write each ratio as a fraction in simplest form.See Example 5.

37. 
    
    
    
    38. 
        
    
    
    
    


38. 
    
    
    
    40. 
        
    
    
    
    

Write each ratio as a fraction in simplest form.See Example 6.

41. 12 minutes to 1 hour 42. 8 ounces to 1 pound


42. 3 days to 1 week 44. 4 inches to 1 yard


43. 18 months to 2 years 46. 8 feet to 4 yards


44. 21 inches to 3 feet 48. 32 seconds to 2 minutes

Write each rate as a fraction in simplest form.See Example 7.

49. 64 feet in 6 seconds


50. 45 applications for 18 openings


51. 75 days on 20 gallons of water


52. 3,000 students over a 16-year career


53. 84 made out of 100 attempts


54. 16 right compared to 34 wrong


55. 18 beats every 12 measures


56. 10 inches as a result of 30 turns

Write each rate as a unit rate.See Example 8.

57. 60 revolutions in 5 minutes


58. 14 trips every 2 months


59. $50,000 paid over 10 years


60. 245 presents for 35 children

12

3

4

to 2

1

8

10

1

2

to 1

3

4

1

1

4

to 1

1

2

2

1

3

to 4

2

3

7 24.5

0.65 0.15

424 Chapter 5 Ratio, Proportion, and Measurement