1. omparing
ractions
Using Their Decimal
Equivalents

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. 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.

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

10. 0.857 0.444 < < = greater than
Which sign belongs between the two fractions?
0.857
0.444
<
< =
greater than

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

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

13. 0.428
0.444
< A

14. 0.444
0.375
< B

15. 0.4
0.571
< C

16. 0.5
0.5 = D

17. 0.6
0.666
< E

18. 0.875
0.714
< F

19. 0.4
0.5
< G

20. 0.857
0.666
< H

21. 0.666
0.666 = I

22. 0.285
0.428
< J

23. 0.5
0.333
< K

24. 0.375
0.333
< L

25. D

26. 0.166
0.375
< M

27. 0.444
0.5
< N