Math 6 NOTES: (1.4)
Name:__________________________________
Fractions → Decimals → Percents (Part 2)
Fraction → Decimal
To change a FRACTION or MIXED NUMBER into a DECIMAL:
Divide the ________________________ by the ________________________.
For mixed numbers, keep the _______________________ in front of the ____________.
Examples:
1
__________________________________________________________________
Fraction → Percent
To change a Fraction into a PERCENT:
1.
2.
Examples:
Convert a fraction to a decimal by dividing the numerator by the denominator.
Multiply the decimal by 100, (OR move the decimal two places to the right.)
**Mixed numbers will result in percentages over 100.**
1
3
Putting It All Together
Fraction → Decimal → Percent
Convert each fraction to a percent.
Step1:
Fraction → Decimal: Divide numerator by denominator.
Step 2:
Decimal → Percent: Multiply the decimal by 100 (move decimal 2 spaces to the right).
1
Examples:
Percent → Decimal → Fraction
Convert each percent to a fraction.
Step 1: Percent → Decimal: Divide percent by 100 (move decimal 2 spaces to the LEFT).
Step 2: Decimal → Fraction:
Identify place value; write as denominator.
Decimal becomes numerator.
Examples:
7%
40 %
300 %
Complete and fill in each blank box:
Fractions
Decimals
Percent
5%
0.8
0.04
362.5%
Math 6 Homework (1.4)
Name:_______________________________
Convert the following fractions to a decimal.
1)
2) 1
3)
4) 3
5)
6)
7) 2
8)
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
6%
2.04
34. Internet access in the U.S. has increased dramatically in recent years. If 110 out of every
200 households have Internet access, what percent of households has Internet access?
th
35. 40% of the students at Stone Hill Middle School are 6 graders. What fraction of the
student population are 6th graders?