*This page was created using ideas from Doug Ray at www.academicmeet.com
The following chart shows the relationship between common fractions, percents and decimals. This chart should be memorized. Look for obvious patterns to help you memorize these numbers. (For repeating decimals, … is used after a pattern has been established. On Number Sense tests, repeating decimals should never be used as an answer.)
|
Fractions |
Percents |
Decimals |
|
Fractions |
Percents |
Decimals |
|
1/2 |
50% |
.5 |
|
1/9 |
11 1/9% |
.111… |
|
|
|
2/9 |
22 2/9% |
.222… |
||
|
1/3 |
33 1/3% |
.333… |
|
4/9 |
44 4/9% |
.444… |
|
2/3 |
66 2/3% |
.666… |
|
5/9 |
55 5/9% |
.555… |
|
|
|
7/9 |
77 7/9% |
.777… |
||
|
1/4 |
25% |
.25 |
|
8/9 |
88 8/9% |
.888… |
|
3/4 |
75% |
.75 |
|
|
||
|
|
|
1/10 |
10% |
.1 |
||
|
1/5 |
20% |
.2 |
|
3/10 |
30% |
.3 |
|
2/5 |
40% |
.4 |
|
7/10 |
70% |
.7 |
|
3/5 |
60% |
.6 |
|
9/10 |
90% |
.9 |
|
4/5 |
80% |
.8 |
|
|
||
|
|
|
1/11 |
9 1/11% |
.0909… |
||
|
1/6 |
16 2/3% |
.1666… |
|
2/11 |
18 2/11% |
.1818… |
|
5/6 |
83 1/3% |
.8333… |
|
3/11 |
27 3/11% |
.2727… |
|
|
|
4/11 |
36 4/11% |
.3636… |
||
|
1/7 |
14 2/7% |
.142857… |
|
5/11 |
45 5/11% |
.4545… |
|
2/7 |
28 4/7% |
.285714… |
|
6/11 |
54 6/11% |
.5454… |
|
3/7 |
42 6/7% |
.428571… |
|
7/11 |
63 7/11% |
.6363… |
|
4/7 |
57 1/7% |
.571428… |
|
8/11 |
72 8/11% |
.7272… |
|
5/7 |
71 3/7% |
.714285… |
|
9/11 |
81 9/11% |
.8181… |
|
6/7 |
85 5/7% |
.857142… |
|
10/11 |
90 10/11% |
.9090… |
|
|
|
|
||||
|
1/8 |
12 1/2% |
.125 |
|
1/12 |
8 1/3% |
.08333… |
|
3/8 |
37 1/2% |
.375 |
|
5/12 |
41 2/3% |
.41666… |
|
5/8 |
62 1/2% |
.625 |
|
7/12 |
58 1/3% |
.58333… |
|
7/8 |
87 1/2% |
.875 |
|
11/12 |
91 2/3% |
.91666… |
|
|
|
|
||||
|
1/16 |
6 1/4% |
.0625 |
3/16 |
18 3/4% |
.1875 |
|
|
5/16 |
31 1/4% |
.3125 |
7/16 |
43 3/4% |
.4375 |
|
|
9/16 |
56 1/4% |
.5625 |
11/16 |
68 3/4% |
.6875 |
|
|
13/16 |
81 1/4% |
.8125 |
|
15/16 |
93 3/4% |
.9375 |