1. Converting & Comparing Fractions & Decimals SPI 0506.2.7 SPI 0506.2.8

2. Comparing Fractions Using Their Decimal Equivalents
Step 1
Change each fraction to a decimal.
Numerator ÷ Denominator
(Top Number) ÷ (Bottom Number)

3. Comparing Fractions Using Their Decimal Equivalents
Step 2
Compare the decimals.

4. Next, compare the decimals.
Example #1 ~ Compare these fractions. 4 ÷ 5 = 3 ÷ 7 =
0.8
0.428
Next, compare the decimals.

5. Comparing Decimals 1
Line up the decimal points. Use zeros to make an equal number of decimal places.
0.800
0.428

6. Comparing Decimals 2
Start by comparing the greatest place.
Find the first place where the digits are different.
0.800
0.428

7. Compare the values of the digits.
Comparing Decimals 3
Compare the values of the digits.
0.8 is greater than 0.4
So,
0.8 >

8. On your calculator… use the F D button
Simple Way….
On your calculator… use the F D button

9. The greater than symbol can be placed between these fractions.
Example #1 ~ Compare these fractions.
0.8
0.428
<
< =
The greater than symbol
can be placed between these fractions.

10. < 0.857 0.444 Which sign belongs between the two fractions? ÷ ÷ 6 7= 4 ÷ 9 =
<
0.857
0.444

11. 0.857 0.444 < < = greater than
Which sign belongs between the two fractions?
0.857
0.444
<
< =
greater than

12. Change Each Fraction to a Decimal
0.75
0.83
Five-sixths is the greater
fraction.

13. Comparing Fractions Using Their Decimal Equivalents
Can you solve these problems?

14. 0.428
0.444
< A

15. 0.444
0.375
< B

16. 0.4
0.571
< C

17. 0.6
0.6 = D

18. 0.6
0.666
< E

19. 0.875
0.714
< F

20. 0.4
0.5
< G

21. 0.857
0.666
< H

22. 0.666
0.666 = I

23. 0.285
0.428
< J

24. 0.5
0.333
< K

25. 0.375
0.333
< L

26. D

27. 0.166
0.375
< M

28. 0.444
0.5
< N

29. TCAP PRACTICE QUESTIONS….

30. Which list orders the fractions from least to greatest?
B. ¼, ½, ¾
C. ¾, ½, ¼
D. ¼, ¾, ½

31. Which list orders the fractions from least to greatest?
B. ¼, ½, ¾
C. ¾, ½, ¼
D. ¼, ¾, ½

32. Which fraction in simplest form is equivalent to 0.85?
13/15
17/20
22/25

33. Which fraction in simplest form is equivalent to 0.85?
13/15
17/20
22/25

34. Which decimal is equivalent to 11/20?
0.11
0.44
0.51
0.55

35. Which decimal is equivalent to 11/20?
0.11
0.44
0.51
0.55

36. The Lions have won 6 of their 8 games
The Lions have won 6 of their 8 games. Which decimal represents the part of the Lions’ games the team has won?
0.62
0.75
0.8
0.85

37. The Lions have won 6 of their 8 games
The Lions have won 6 of their 8 games. Which decimal represents the part of the Lions’ games the team has won?
0.62
0.75
0.8
0.85

38. Which decimal is equivalent to 1/8?
0.1
0.125
0.15
0.18

39. Which decimal is equivalent to 1/8?
0.1
0.125
0.15
0.18

40. Which shows 4.5 written as a mixed number in simplest form?

41. Which shows 4.5 written as a mixed number in simplest form?

42. Maureen answered 4 out of 20 questions incorrectly on a math quiz
Maureen answered 4 out of 20 questions incorrectly on a math quiz. Which decimal represents the number of questions that Maureen answered incorrectly?
A. 0.2 B C
D. 0.4

43. Maureen answered 4 out of 20 questions incorrectly on a math quiz
Maureen answered 4 out of 20 questions incorrectly on a math quiz. Which decimal represents the number of questions that Maureen answered incorrectly?
A. 0.2 B C
D. 0.4

44. Which shows 3 5/8 written as a decimal?
B. 3.6 C D

45. Which shows 3 5/8 written as a decimal?
B. 3.6 C D

46. Which sentence is true?
A. 4/5 > ¾
B. 4/5 < ¾
C. 4/5 = ¾
D. ¾ > 4/5

47. Which sentence is true?
A. 4/5 > ¾
B. 4/5 < ¾
C. 4/5 = ¾
D. ¾ > 4/5

48. On which day did Maura spend the most time on the phone? Monday
The table shows the part of an hour that Maura spent on the phone each day. Maura’s phone time
On which day did Maura spend the most time on the phone?
Monday
Tuesday
Wednesday
Thursday
Monday
Tuesday
Wednesday
Thursday
2/3 hours
0.65 hours
¾ hours
0.7 hours

49. On which day did Maura spend the most time on the phone? Monday
The table shows the part of an hour that Maura spent on the phone each day. Maura’s phone time
On which day did Maura spend the most time on the phone?
Monday
Tuesday
Wednesday
Thursday
Monday
Tuesday
Wednesday
Thursday
2/3 hours
0.65 hours
¾ hours
0.7 hours

50. Which fraction will make this sentence true?
3/20 < _______
1/10
1/6
2/15
3/25

51. Which fraction will make this sentence true?
3/20 < _______
1/10
1/6
2/15
3/25

52. Which sentence is NOT true?
A. 2/5 > 0.39
B. ¾ = 0.75
C. 7/8 < 0.9
D. 3/5 > 0.62

53. Which sentence is NOT true?
A. 2/5 > 0.39
B. ¾ = 0.75
C. 7/8 < 0.9
D. 3/5 > 0.62