This document provides an overview of fractions, decimals, and percentages. It explains how to convert between the different representations and compare their values. Key points covered include: - Fractions represent a part over a whole - To convert a fraction to a percentage, express it with a denominator of 100 - To convert a percentage to a fraction, write it as a fraction over 100 - To write a decimal as a percentage, multiply it by 100 and add the percent sign - Fractions, decimals, and percentages can be compared by first converting them to the same representation (e.g. fractions over 100) and then comparing their values.

1. Fractions, Decimals, and Percentages
…oh, my!
• You will be able to express fractions as
percentages and percentages as fractions.
• You will be able to express percentages as
decimals and decimals as percentages.
• You will be able to compare and order fractions,
decimals, and percentages.

2. Fractions
A fraction is not a whole number – it’s
part of a number…commonly
demonstrated with a pizza example.
The numerator (one slice) expresses a
‘part’ of the ‘whole’ (the denominator –
or number of slices in the entire pizza).
So, if you have 1 slice of pizza and the entire pizza has 8 slices,
you have 1/8th of the pizza.
Part
Whole

3. Fractions to Percentages
A percent is a ratio that compares a number to
100. A specified amount for every 100.
If you have 2 slices of pizza, you would have
2
10
of the pizza. 2 parts of the whole.
To convert a fraction to a percentage simply
express the fraction with a denominator of
100. For example:
2
10
x
10
10
=
20
100
Since a percent is a number that compares to 100,
20
100
is the same as 20 out of 100. Or, 20%.

4. Percentages as Fractions
Nice. But how do you express a
percentage as a fraction?
What if your friend tells you that she wants
70% of the pizza? How much will she get?
She wants 7 parts of 10 pieces.
And we know that fractions show parts of a whole…
𝑝𝑎𝑟𝑡
𝑤ℎ𝑜𝑙𝑒
So, 7 parts of 10 (the whole) would be expressed as
7
10
.

5. Fraction and Percentage Review
Fraction to percentage
•
3
10
=
30
100
= 30%
Percentage to fraction
•40% =
40
100
=
4
10

6. Fractions and Percentages- your
turn:
1
10
=
𝑥
100
= 𝑥%
• Use paper to help you write your thoughts.
30% =
𝑥
100
=
𝑥
10
• Check your work.

7. Decimals as Percentages
To write a decimal as a percent, multiply by 100 and add the
percent symbol. Percent really just means per 100.
.25 x 100 = 25%

8. Practice
.35 = 35x100 = ____ %
.72 = 72x100 = ____%
.03 = 3x100 = _____%
How did you do? Check your answers: 35%, 72%, 3%

9. Fractions, Decimals, and Percentages:
Comparing
Don’t worry; it’s not that hard.
They are all parts of a whole (just written different ways).
1
4
=
1𝑝𝑎𝑟𝑡
𝑤ℎ𝑜𝑙𝑒(4)
= .25 = 25% (25 per 100)
Still wondering how it works? Watch this video: http://youtu.be/Kr52yfR3wGA

10. Fractions, Decimals, and Percentages:
Comparing
Think about the following expressions. Which one is the largest? The smallest?
30%
.10
8
10

11. Fractions, Decimals, and Percentages:
Ordering
CONVERT THE EXPRESSION.
30%=
30
100
= .30
.10=
10
100
=
1
10
=.10
8
10
=
80
100
= 80%=.80
PUT THEM IN ORDER FROM SMALLEST TO
LARGEST.
?
?
?
Check your work. Did you have: .10, .30, .80?

12. Fractions, Decimals, and Percentages:
Practice
1
2
.55
80%
Convert these expressions and put them in order from smallest to greatest.

13. Show your work:
1
2
=
50
100
= 50%
.55=
55
100
= 55%
80%=.80=
80
100
=
8
10

14. Ordering Expressions:
1
2
=
50
100
= 50%
.55=
55
100
= 55%
80%=.80=
80
100
=
8
10 A
C
B
Put them in order from smallest to greatest. Use A, B, and C to represent the expression.
Check you work. The correct order is C, B, A or 50%, 55%, 80%.

15. Review:
Fractions, Decimals, and Percentages
• I can express fractions as percentages and
percentages as fractions.
• I can express percentages as decimals and
decimals as percentages.
• I can compare and order fractions, decimals, and
percentages.