(2.1) NOTES
Math 7
Fractions ↔ Decimals ↔ Percents
Fractions → Decimals → Percents
1. Changing a FRACTION/ MIXED NUMBER into a DECIMAL:
_____________________________________________ by the __________________ .
Keep the ___________________ in front of the _________________________ .
Examples:
2
2
7
3
1
2. Changing a DECIMAL into a PERCENT:
3
4
Examples:
1) Find the ____________________________________,
0.285
2)_________________________________, write % sign
9
Hint: moving the decimal point two places to the right
0.07
is the SAME as multiplying the decimal by 100.
2
0.2
0.02
0.6
0.05
0.17
4.11
0.73
0.008
3. Lets Combine the Steps: Changing a FRACTION into a PERCENT:
Step 1: Fraction → Decimal by _____________
Step 2: Multiply the decimal by 100.
***Mixed numbers will result in percentages over ________.***
73
15
100
25
15
1
13
5
1
25
9
500
73
1
3
3
8
(2.1) NOTES cont…
Percents → Decimals → Fractions
1. Changing PERCENT into a DECIMAL:
1) Find the __________________________________
Examples:
2) _______________ by ______.
28.5%
3) _________________ the % sign
9%
0.07%
Hint: moving the decimal point two places to the left
is the same as dividing the percent by 100.
7%
70 %
700 %
0.09%
342.79%
40 %
8%
0.3%
52.5%
2. Changing DECIMAL into a FRACTION/ MIXED NUMBER:
0) Place a number _______________ of the decimal as the _____________________ for a mixed #.
1) Read the proper name of the decimal part and rewrite it as a ____________________ .
The decimal part will appear in the _____________________ of the fraction.
2) !!!!!!!! ______________________ the fraction.
Examples:
1.48
0.09
0.444
Complete and fill in each blank box:
Fractions
Decimals
Percent
5%
0.8
1
8
0.04
3.625
11
25
32%
0.5
Name _______________________________________
Math 7 Homework (2.1)
Convert the following fractions to a decimal:
1)
5)
1
2) 1
2
2
6)
3
3
5
4
3)
3
4
7) 2
5
7
8
4) 3
8)
3
8
5
6
Convert the following decimals to a percent:
9) 0.38
10) 0.16
11) 4.45
12) 2.39
13) 0.54
14) 4.12
15) 0.0004
16) 0.034
Convert the following percents to a decimal:
17) 45%
18) 50%
19) 5%
20) 18.5%
21) 4.5%
22) 125%
23) 28%
24) 300.5%
Convert the following decimals to a fraction (and simplify):
25) 0.25
26) 0.7
27) 0.15
28) 4
29) 2.5
30) 3.05
31) 0.08
32) 3.8
33. Complete and fill in each blank box:
Fractions
Decimals
Percent
25%
0.4
1
20
6%
2.04
2
1
3
34. Internet access in the U.S.
has increased dramatically in
recent years. If 110 out of every
200 households had Internet
access, what percent of
households had Internet access?