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Chapter/Lesson: Chapter 3 Lesson 12 Page: 134
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Objective/Title: Fractions, Mixed #’s and Decimals
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Important Terms
Quick Solve
Numerator: the top number in a fraction
(number of parts you have)
Convert fractions and mixed #'s to
decimals
Denominator: the bottom number in a
fraction (number of parts the whole is
divided into)
Line up decimals to compare them
List ORIGINAL numbers in order from L
to G or G to L (read directions)
*if checking how you changed a fraction
to a decimal with a calculator enter
top ÷ bottom =
Practice Questions
Compare. Then order from least to greatest.
1. 5 0.6 0.55
10
5 < 0.55 < 0.6
10
2.
5. 0.3 1.4 9
10
0.3 < 9 < 1.4
10
6. 2.5
9. 1 0.35 2
3
5
1 < 0.35 < 2
3
5
14
1
1.7
1
5
2
1 < 1.7 < 1 4
1 2
5
2.15
24
5
2.15 < 2.5 < 2 4
5
10.
0.08
24 6
100 10
0.08 < 24 < 6
100
10
3. 0.65
0.85
15
20
0.65 < 15 < 0.85
20
7. 25
3 1.5
1
20
4
25 < 1.5 < 1 3
20
4
11. 7 0.65 1
10
2
1 < 0.65 < 7
2
10
4. 9
3
0.8
25 10
3 < 9 < 0.8
10
25
8. 0.42
24
18
100 50
24 < 18 < 0.42
100
50
12. 9 0.85 4
10
5
4 < 0.85 < 9
5
10
Notes and Examples
1. Convert fractions and/or mixed numbers to decimals by dividing the fractions (always put
the numerator under the bracket)
2. Line up decimals so they can easily be compared.
Example 1.60
0.87
0.88
1.6
0.87
0.8
1.6 is the biggest because it contains a whole # (1st)
0.87 is the least because you would compare the 7 to an 8 (3rd)
0.8 is the 2nd biggest because it is the same as 0.888888.... (2nd)
* if ordering greatest to least
3. Use the ORIGINAL numbers in the final answer, not the decimals you converted them to.
You list them least to greatest or greatest to least depending on the directions given.
example: if the problem gives you 0.75
1
numbers in it 0.75 < 1
< 2.45
2.45
11
then your answer must have those exact
5
5
Fraction to decimal:
5
10
Mixed Number to decimal:
0.5
10 5.0
-5 0
11
2
0.5
2 1.0
-1 0
*divide the fraction, then add the whole number
Or change mixed number to an improper fraction
0.5 + 1 = 1.5
1 1
side (1) times bottom (2) = 2
take 2 add top 2+1= 3
Keep denominator (3/2)
(then divide as fraction to decimal)
2
3
2
1.5
2 3.0
-2
10
-10