______Confident
Chapter/Lesson: Chapter 7 Lesson 9, 10, 11 Page: 326-330
______Ok
Objective/Title: Convert Fractions, Decimals, and Percents
______Lost
Important Terms
Quick Solve
Decimals: a number that has one or
more numbers to the right of a decimal
Decimal to %: move decimal point to the right 2
places
Percent: ratio of a number to 100
% to Decimal: move decimal point to the left 2
places
Fraction to %: write equivalent fraction with
denominator of 100. Then write the numerator as
the %.
a × ?
Fraction: a number that names a part of
a whole, part of a collection, or part of a
region
b
100
% to Fraction: put the number over 100. Simplify.
n% = n
÷
100 ÷
Fraction to decimal: divide
a
b a
b
Practice Questions
Express each decimal as a percent or percent to decimal. Then order from least to greatest in original #’s
1. 17% 0.56 0.18
0.17 56% 18%
17% < 0.18 < 0.56
5.
48% 0.48
2. 250% 2.49 200%
2.50 249% 2.00
200% < 2.49 < 250%
6. 2.38 238%
7. 77% 0.77
3. 18% 0.15 99%
0.18
15% 0.99
0.15 < 18% < 99%
8. 6.01 601%
4. 0.22 0.01 0.83
22%
1%
83%
0.01 < 0.22 < 0.83
9. 37.5% 0.375
10. 6.8 680%
Write an equivalent percent or fraction in simplest form.
1.
1
4
6. 80%
25%
2. 2
5
4
5
7.
9
10
40%
90%
3.
8.
75%
50
200
3
4
25%
4. 17
20
9. 145%
85%
29
20
5.
160%
1 9
20
8
5
13
5
10. 2% 1
50
Change all numbers to a decimal or percent. Then order from least to greatest in original #’s
1. 0.65
3
5
3.0
1<
2
3 < 0.65 <
5
5.
3
5
1
2
3.0
0.61
1 < 3 < 0.61 <
2
5
1
2
65%
65%
2. 5
6
80
100
1.2
80 <
100
5 <
6
1.2 < 1.9
6. 7
5
1.9
43%
43% < 7 <
5
1.95
1.95
3. 0.12 1
10
11% 0.20 4. 6 125% 0.95
5
1 < 11% < 0.12 < 0.20
10
7. 1.1
7
10
99%
7 < 99% < 1.1
10
0.95 < 6 < 125%
5
8. 4%
4%
0.05
2
20
< 0.05 < 2
20
Notes and Examples
1. Convert decimals to percents by moving the decimal point to the right exactly 2
places.
Then add the % sign
*Add zeros if necessary.
example: 0.45
0.45.
45%
Decimal
Percent *Think alphabetically
Decimal
Percent
2. Convert percents to decimals by moving the decimal point to the left exactly 2
places. Then remove the % sign. **Add zeros if necessary
*If you do not see a decimal it falls at the end of the number on the right hand side
example: 45 %
045.
0.45
*Groups of Numbers: Change all numbers to either decimals or percents and use
original #’s in your answer. (If you choose to change to decimals line up the #’s to
compare)
3. Convert fractions to percents by writing an equivalent fraction with a denominator
of 100. Remember to find the number to get from 4 to 100, which is times 25, and
multiply by the same number on top. Then convert the equivalent fraction to a percent
(the numerator becomes the percent.)
× 25
example: 3
4
= 75
= 100
75
100
75%
× 25
* If you can't write an equivalent fraction with a denominator of 100, then you must
divide the fraction to get a decimal. Then convert the decimal to a percent.
example:
0.571
0.57
4 (being divided)
7 (dividing into)
0.571
7 4.000
-35
50
-49
10
-7
*Round to decimal to
the nearest
hundredths place.
Then convert the
decimal to a percent.
57%
4. Convert percent to fraction by putting the number over 100.
÷ 20
*Remember to take the % sign away!
example:
20%
20
100
*Simplify if you can!
20
100
=
÷20
1
5