Fractions decimals percentages
This activity is about converting between fractions, decimals and percentages.
Information sheet
Converting between decimals and fractions
To change a decimal to a fraction: use the place value of the last digit
For example 0.85 = [pic] = [pic]
On a calculator press: 85 [pic] 100 =
To change a fraction to a decimal: divide the top by the bottom
For example [pic] = 4 ( 5 = 0.8
Converting between percentages and fractions or decimals
To write a % as a fraction or decimal: divide by 100
For example 64% = 64 ( 100 = 0.64
or 64% = [pic] = [pic]
On a calculator press: 64 [pic] 100 =
To write a decimal or fraction as a %: multiply by 100
For example 0.125 = 0.125 ( 100 = 12.5%
[pic] = [pic] ( 100 (i.e. [pic] of 100%) = 40%
or [pic] = 2 ( 5 ( 100 = 40%
On a calculator press: 2 [pic] 5 ( 100 = 40%
Try these
1 Write these decimals as fractions:
0.3 = …………. 0.5 = …………. 0.6 = …………. 0.02 = ………….
0.05 = …………. 0.25 = …………. 0.36 = …………. 0.125 = ………….
2 Write these fractions as decimals:
[pic] = ………………. [pic] = ………………. [pic] = ………………. [pic] = …………………
[pic] = ………………. [pic] = ………………. [pic] =………………. [pic] = …………………
3 Write these percentages as decimals:
3% = …………. 30% = …………. 25% = …………. 80% = ………….
8% = …………. 12% = …………. 67% = …………. 17.5% = ………….
4 Write these percentages as fractions:
20% = …………. 75% = …………. 5% = …………. 30% = ………….
40% = …………. 15% = …………. 24% = …………. 35% = ………….
5 Write these decimals as percentages:
0.25 = …………. 0.5 = …………. 0.7 = …………. 0.07 = ………….
0.45 = …………. 0.09 = …………. 0.4 = …………. 0.375 = ………….
6 Write these fractions as percentages:
[pic] = …………. [pic] = …………. [pic] = …………. [pic] = ………….
[pic] = …………. [pic] = …………. [pic] = …………. [pic] = ………….
At the end of the activity
Explain how to convert ...
• a decimal to a fraction
• a fraction to a decimal
• a percentage to a fraction or decimal
• a fraction or decimal to a percentage.
Give some examples of real contexts where ...
• decimals are used
• fractions are used
• percentages are used.
• Fractions to decimals to percentages
Complete this table.
|Fraction |Decimal |Percentage |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
Fill the gaps in the table.
|Percentage |Fraction |Decimal |
| | | |
|10% | | |
| | |0.2 |
| | | |
| |[pic] | |
| | | |
| | | |
|40% | | |
| | |0.5 |
| | | |
| |[pic] | |
| | | |
| | | |
|70% | | |
| | |0.8 |
| | | |
| |[pic] | |
| | | |
| | | |
|25% | | |
| |[pic] | |
| | | |
Follow me – fractions to percentages Set A
Follow me – fractions to percentages Set B
Follow me – percentages to fractions Set C
Follow me – percentages to fractions Set D
-----------------------
Who is
[pic]?
I a〱┰圍潨椠൳†ㄠി栍湵牤摥桴൳⁉浡ഠ㤍┰圍潨椠൳†ጠ䔠䉍䑅䔠畱瑡潩″ᐠᔁി⁉浡ഠ㘍┰䤍愠㔲ഥ桗獩ጠ䔠䉍䑅䔠畱瑡潩″ᐠᔁ㼠䤍愠〱ഥ桗獩†–䵅䕂⁄煅慵楴湯㌮†Ĕ㼕圍潨椠൳†ጠ䔠䉍䑅䔠畱瑡潩″ᐠᔁി桗獩†–䵅䕂⁄煅慵楴湯㌮†Ĕ㼕䤍愠㔷ഥ桗獩†–䵅䕂⁄煅慵楴湯㌮†Ĕ㼕䤍愠〲ഥ桗獩†–䵅䕂⁄煅慵楴湯㌮†Ĕ㼕䤍愠〸ഥ桗獩†–䵅䕂⁄煅慵楴湯㌮†Ĕ㼕圍潨椠m
100%
Who is
1?
hundredths
I am
90%
Who is
[pic]?
I am
60%
I am
25%
Who is
[pic] ?
I am
10%
Who is
[pic]?
Who is
[pic]?
Who is
[pic]?
I am
75%
Who is
[pic]?
I am
20%
Who is
[pic]?
I am
80%
Who is
[pic]?
Who is
[pic]?
Who is
[pic]?
I am
70%
Who is
[pic]?
I am
40%
Who is
[pic]?
I am
30%
I am
100%
Who is
[pic]?
I am
50%
I am
25%
Who is
[pic] ?
I am
10%
Who is
[pic]?
I am
75%
Who is
[pic]?
I am
20%
Who is
[pic]?
I am
50%
÷ 5
÷ 5
I am
80%
Who is
[pic]?
I am
70%
Who is
[pic]?
I am
40%
Who is
[pic]?
I am
30%
I am
60%
Who is
[pic]?
I am
90%
Who is
[pic]?
I am
55%
Who is
[pic]?
I am
6%
Who is
[pic] ?
I am
33[pic]%
Who is
[pic]?
I am
56%
Who is
[pic]?
I am
62[pic]%
Who is
[pic]?
I am
95%
Who is
[pic]?
I am
74%
Who is
[pic]?
I am
37[pic]%
Who is
[pic]?
I am
8%
Who is
[pic]?
I am
35%
Who is
[pic]?
I am
66[pic]%
Who is
[pic]?
I am
12[pic]%
Who is
[pic]?
I am
22%
Who is
[pic]?
I am
5%
Who is
[pic] ?
I am
72%
Who is
[pic]?
I am
87[pic]%
Who is
[pic]?
I am
4%
Who is
[pic]?
I am
34%
Who is
[pic]?
I am
42%
Who is
[pic]?
I am
52%
Who is
[pic]?
I am
45%
Who is
[pic]?
I am
58%
Who is
[pic]?
I am
64%
Who is
[pic] ?
I am
32%
Who is
[pic]?
I am
2%
Who is
[pic]?
I am
92%
Who is
[pic]?
I am
98%
Who is
[pic]?
I am
44%
Who is
[pic]?
I am
82%
Who is
[pic]?
I am
65%
Who is
[pic]?
I am
14%
Who is
[pic]?
I am
88%
Who is
[pic]?
I am
62%
Who is
[pic]?
I am
85%
Who is
[pic]?
I am
16%
Who is
[pic] ?
I am
46%
Who is
[pic]?
I am
84%
Who is
[pic]?
I am
78%
Who is
[pic]?
I am
15%
Who is
[pic]?
I am
26%
Who is
[pic]?
I am
24%
Who is
[pic]?
I am
86%
Who is
[pic]?
I am
76%
Who is
[pic]?
I am
12%
Who is
[pic] ?
I am
18%
Who is
[pic]?
I am
36%
Who is
[pic]?
I am
54%
Who is
[pic]?
I am
68%
Who is
1?
I am
1
Who is
50%?
I am
[pic]
Who is
20%?
I am
[pic]
Who is
75%?
I am
[pic]
Who is
10%?
I am
[pic]
Who is
25% ?
I am
[pic]
Who is
30%?
I am
[pic]
Who is
40%?
I am
[pic]
Who is
70%?
I am
[pic]
Who is
80%?
I am
[pic]
Who is
60%?
I am
[pic]
Who is
90%?
I am
[pic]
Who is
100%?
I am
1
Who is
50%?
I am
[pic]
Who is
20%?
I am
[pic]
Who is
75%?
I am
[pic]
Who is
10%?
I am
[pic]
Who is
25%?
I am
[pic]
Who is
30%?
I am
[pic]
Who is
40%?
I am
[pic]
Who is
70%?
I am
[pic]
Who is
80%?
I am
[pic]
Who is
60%?
I am
[pic]
Who is
90%?
I am
[pic]
Who is
55%?
I am
[pic]
Who is
6%?
I am
[pic]
Who is
33%?
I am
[pic]
Who is
56%?
I am
[pic]
Who is
63%?
I am
[pic]
Who is
95%?
I am
[pic]
Who is
74%?
I am
[pic]
Who is
37%?
I am
[pic]
Who is
8%?
I am
[pic]
Who is
35%?
I am
[pic]
Who is
67%?
I am
[pic]
Who is
13%?
I am
[pic]
Who is
22%?
I am
[pic]
Who is
5%?
I am
[pic]
Who is
72%?
I am
[pic]
Who is
87%?
I am
[pic]
Who is
4%?
I am
[pic]
Who is
34%?
I am
[pic]
Who is
42%?
I am
[pic]
Who is
52%?
I am
[pic]
Who is
45%?
I am
[pic]
Who is
58%?
I am
[pic]
Who is
64%?
I am
[pic]
Who is
32%?
I am
[pic]
Who is
2%?
I am
[pic]
Who is
92%?
I am
[pic]
Who is
98%?
I am
[pic]
Who is
44%?
I am
[pic]
Who is
82%?
I am
[pic]
Who is
65%?
I am
[pic]
Who is
14%?
I am
[pic]
Who is
88%?
I am
[pic]
Who is
62%?
I am
[pic]
Who is
85%?
I am
[pic]
Who is
16%?
I am
[pic]
Who is
46%?
I am
[pic]
Who is
84%?
I am
[pic]
Who is
78%?
I am
[pic]
Who is
15%?
I am
[pic]
Who is
26%?
I am
[pic]
Who is
24%?
I am
[pic]
Who is
86%?
I am
[pic]
Who is
76%?
I am
[pic]
Who is
12%?
I am
[pic]
Who is
18%?
I am
[pic]
Who is
36%?
I am
[pic]
Who is
54%?
I am
[pic]
Who is
68%?
I am
[pic]
Who is
100%?
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