Unit 1: Conversions
• Decimals, fractions, and percents are all
ways to express a part of a whole.
• It is important to remember that all % are
out of a total of 100.
• Sometimes you need to convert between
these to fit a certain situation. For example,
when cooking you would use fractions.
Changing Fractions to Decimals
Change 3/4 to a decimal.
There are two ways to do this.
• You can make a fraction equivalent to x/10 , x/100 ,
x/
1,000
IF you know this easily in your head.
• You can divide the numerator by the denominator.
Change each fraction to a decimal.
1.
13/
2.
19/
3.
1 5/8
4.
4/
5.
1/
20
25
9
6
Changing Decimals to Fractions
“WRITE IT LIKE YOU SAY IT!!!”
Write 0.95 as a fraction.
1. Write it as a fraction like you say it.
• Ex: ninety-five hundredths =
2. Reduce if necessary.
Change each decimal to a fraction.
1.
0.9
2.
0.09
3.
4.5
4.
7.75
5.
5.25
Changing Decimals to Percents
Ex: Change 0.23 to a percent.
1. Move the decimal point two places to the right.
2. Put the percent sign (%) on the right side of the
number.
Change each decimal to a percent.
1.
0.25
2.
0.095
3.
0.6
4.
0.05
5.
5.25
Changing Percents to Decimals
Ex: Change 75% to a decimal.
1. Move the decimal point two places to the left.
2. Drop the percent sign (%).
Change each percent to a decimal.
1.
76%
2.
90%
3.
6%
4.
125%
5.
100%
Changing Percents to Fractions
Ex: Change 5% to a fraction.
1. Change the percent to a decimal.
5% =
2. Change the decimal to a fraction and simplify.
0.05=
=
Change each percent to a fraction.
1.
12%
2.
2%
3.
58%
4.
43%
5.
65%
Changing Fractions to Percents
Ex: Change 3/10 to a percent.
1. Change the fraction to a decimal.
3/
10
=
2. Change the decimal to a percent.
0.3 =
%
Change each fraction to a percent.
1.
43/
2.
7/
3.
3/
4.
1/
4
5.
1/
2
100
10
5
No work shown.
Fill in the FDP Chart
Fraction
Decimal
Percent
3%
0.3
3
0.06
Fill in the FDP Chart.
Fraction
9/
Decimal
Percent
0.09
10
900%
0.08
Fill in the FDP Chart.
Fraction
1/
50
5
1/
5
Decimal
0.5
Percent
Comparing Fractions, Decimals,
and Percents
• i.e.: ¾ _____ 50% <, >, or =
• 1.) Convert to same form
• 2.) Compare the two: greater than, less
than, or equal
Practice:
• Compare: 3/5 _____ 60%
• Compare: ¾ _____ 0.77
• Compare: 0.56 ______ 49%
Ordering and Comparing Fractions,
Decimals, and Percents
• Example: Order the following from Least to
Greatest:
¼
0.8
50% (put in percent form)
• 1) Convert all to common form
• 2.) Order in original form
•
•
•
•
¼ = 0.25 = 25%
0.8 = 80%
50% = 50%
ANSWER ¼, 50%, 0.8
Practice:
• Order from Least to Greatest (in decimal
form) 2/5 0.6
55%
• Order from Least to Greatest (in fraction
form) ¼
.7
40%
More Practice
• Order each set from least to greatest.
Show ALL conversions.
•
0.66, 2/3 , 60%
•
0.31, 28%, 7/20
•
76%, 7/8 , 0.8
• Order from greatest to least. Show ALL
conversions.
•
2 1/2, 2.4, 212%
•
5 3/8, 5.5, 560%
•
6 14/25, 640%, 6.5
Finding a Pattern
• You may also be given the beginning of a
pattern and have to fill in the rest of it.
• F, D, F, D, ____, ____, _____, ______
• Whatever the pattern, you have to change what
they give you to be in the same form so you can
see what the pattern is.
• But, you have to make sure you fill in the
pattern in the correct form.
• Must convert TWICE!
Example:
• 1/5, 0.4, 6/10, _____, ____, _____
•F
D
F
D
F
D Label them!
Practice
• For each pattern, find the next four numbers in the
sequence. Show ALL conversions.
• 10.25, 10 1/2, 10.75, _________, _________, __________
• 14.2, 14 2/5 , 14.6, ______, ______, ________, ________
• 3.12, 3 6/25, 3.36, _______, _______, _______, ________
• 3 1/8, 3.25, 3 3/8, _______, _______, _______, ________