The document discusses different ways of representing numbers, including fractions, decimals, and percentages. It provides examples of how to convert between these forms. Fractions can be converted to decimals by dividing the numerator by the denominator. Decimals can be converted to percentages by moving the decimal point two places to the right and adding a percent sign. Percentages can be converted back to decimals by moving the decimal two places to the left and removing the percent sign. Practice problems are included to help understand these conversions.

1. I juggled
Granny’s china
teacups…..
once!
© Mike’s Math Mall

2. Not that kind of introduction, big fella!
Hi!
My name’s
Sparky!
My bad!

3. Fractions, decimals, and percents
are different ways of
representing the same number.
𝟏
𝟐
= 0.5 = 50%
These numbers look different, but
they all have the exact same value.
Fraction Decimal Percent

4. Hopefully, you just had
an off day!
Because we use fractions, decimals,
and percents in everyday life, it’s
helpful if we can juggle or change
between each form…
…making these numbers
easier to
understand.
I understand
that ¼ pound of
cheesy bacon burger
is good!
I don’t
understand how
I got a 25% on
my last math
test.

5. When do we use Fractions?
Measuring Length
𝟓
𝟏
𝟖
inches
Reading Music
𝟏
𝟐
note
Can you think of other ways we use fractions?
Telling time
𝟏
𝟒
after four
(a quarter after four)
Cooking/Recipes
𝟐
𝟑
cups flour

6. When do we use Decimals?
Sports
0.375 – baseball
batting averages
Prices
Where else do we see decimals?
Pi
3.141592…
𝜋
Gas Amounts
18.8959 gallons

7. When do we use Percents?
Grades
25%
Thanks
for reminding
me!
Retail Sales
60% off!
Tipping Rates
15% to 20%
Where else do we find percentages?
Statistics
100% of students choose
shorter school days!

9. A fraction is formed by two numbers;
a top number, the numerator, over a
bottom number, the denominator.
𝒑𝒂𝒓𝒕
𝒘𝒉𝒐𝒍𝒆
or
3
4
𝐧𝐮𝐦𝐞𝐫𝐚𝐭𝐨𝐫
𝐝𝐞𝐧𝐨𝐦𝐢𝐧𝐚𝐭𝐨𝐫 →
→
Proper fractions, like this one,
represent numbers less than 1.

10. Decimals are related to fractions
because they also represent
numbers less than 1.
Does anyone know how to turn a
fraction into a decimal?
If you said by dividing
the numerator by the
denominator, you’re right!
But how
does that give you
a decimal?
Check this out!

11. Let’s use
𝟑
𝟒
as an example.
To turn
𝟑
𝟒
into a decimal, we divide the
3.0
4
-2 8
2
0
0
.
0 75
-20
0
So
𝟑
𝟒
= 0.75
Hint: you can think of
a fraction bar like a
division (÷) symbol.
numerator, 3, by the denominator, 4.

12. Can someone guess what the decimal
form of 3
𝟑
𝟒
would be?
If you said 3.75, you’re right!
Notice how the whole
number stays the
same in both forms.
I think
I get it, but can
we do one more
to be sure?
Absolutely!

13. 0
Let’s change 5
𝟐
𝟑
into a decimal!
Remember! The whole number will stay the
same, so we just need to divide 2 by 3.
2.0
3
0.6
-1 8
0
20
6
-18
2
0
At this point, you can
see the division problem
will never end, and the
6 will keep repeating.
So 5
𝟐
𝟑
= 5.6
I’m
still iffy!
Let’s practice!

14. Change the following fractions into decimals.

16. A percentage represents
an amount out of 100.
So, for example,
instead of saying Sparky
got 25 out of 100 on his last
math test, we say Sparky got a 25%.
We use the (%) symbol instead of writing
fractions with a denominator of 100.
It’s time
we find another
example!
My bad!

17. Because a percentage represents
an amount out of 100, to turn a
decimal into a percent, all we do is
multiply the decimal by 100.
Let’s change 0.62 to a percent!
100
× 0.62
200
+ 600
62.00
= 62
Don’t forget the
percent sign!
62%

18. Got it!
Someone
told me that when
you multiply by 100, it’s
just like moving the
decimal point 2 places
to the right!
That someone
was correct!
Moving
the decimal
seems waaaaay
easier to me!
It is! Just don’t forget to add
the percent sign after you
move the decimal!

19. So, let’s use Sparky’s method to easily
change some decimals into percents.
0.45 = 45%
→ 45.0
0.7
Before we can move the
decimal 2 places to the right,
we have to add a zero.
Example 1:
Example 2:
0 → 70.0 = 70%

20. 00
Example 3:
1.25 → 125.0 = 125%
Example 4:
2
An “understood” decimal
comes after the 2.
.
Add two zeros so we
can move the decimal!
→ 200.0 = 200%
I’m
pretty sure I
have this!
We better practice just to be sure!

21. Change the following decimals into percentages.

22. Me thinks
me gettin’
dizzy!
This won’t be bad. Trust me!

23. If we move the decimal 2 places to the
right to change a decimal to a percent,
what do you suppose we do to change a
percent back to a decimal?
Move the
decimal 2 places
to the left?
Pure genius!
What
can I say? It
runs in the
family!
Just check this out, Professor Sparkington!

24. %
%
Example 1:
85
Locate the “understood”
decimal after the 5 and
remove the percent sign.
%
.
Then, move the decimal
2 places to the left.
→ .85 = 0.85
Example 2:
30. → .30 = 0.3
Example 3:
115. = 1.15
Your turn!

25. Change the following percents into decimals.

26. Head…
about…to…
explode!
Stay with me Sparticus!

27. I’ll believe
it when I see it…
or hear it!
Some say
crazy! Others
say cute!
Before we start changing decimals into
fractions, we need a good understanding
of how to properly say decimals.
Believe it or not, when you
properly say a decimal,
you are automatically
creating the fraction.
Well, at least the crazy face is gone!

28. (Sample number)
Can you name the following
decimal place values?
Now let’s look
at how to
properly “say”
decimals.

29. Practice saying the following decimals:

30. What work still needs to be done with
all of these fractions?
If you said “simplify,” you’re right!
As you say each decimal, picture the fraction
you’re saying to yourself:

31. Simplify.
I get it!
But I better
do some more
practice.
I like your
attitude!

32. Change the following decimals into fractions.
Don’t forget to simplify!

33. So how’d you do on the
practice problems, Sparky?
I believe
I have this stuff
covered, sir!
Well, maybe it’s time we work on
getting some other things covered!
Who wants
to see a belly
roll?
© Mike’s Math Mall