1. Converting Fractions into Decimals into Percents & Vice Versa
Objective: SWBAT convert fractions into decimals into percents and vice versa.

2. Vocabulary
Fraction parts of a whole
Fraction Bar means division
Numerator top number in a fraction – shows
how many parts we have
Denominator bottom number in a fraction – show
how many equal parts we have
Decimal a number containing a decimal point
Percent means parts per (symbol - %)

3. How do you convert a Fraction into a Decimal? Example: 𝟓 𝟔
6 5
.833
- 48 20
- 18 2
Numerator
Denominator
Step 1 - Divide the Denominator
into the Numerator
Step 2 – Add a decimal after
the Numerator and
add a few zeros after
the decimal.
Step 3 – Divide to at least 2 to 3
decimal places

4. Practice: Convert each Fraction into a Decimal.
.75
- 28 20
-20
.45
- 80
100
- 100
1. 𝟑 𝟒
𝟗 𝟐𝟎
= .75 =
Ignore the whole number until the final answer.

5. Place Value Review:
Tens
Ones
Thousands
Tenths
Hundreds
Hundredths
Thousandths

6. How do you convert a Decimal into a Fraction in its simplest form?
Step 1 – Identify the place
value of your last
number.
Step 2 – Write your answer
in fraction form.
Step 3 – Reduce your
fraction in simplest
form by finding a
common factor.
0.25
𝟐𝟓 𝟏𝟎𝟎
Hundredths
÷ 𝟐𝟓 𝟐𝟓
= 𝟏 𝟒

7. Practice: Convert each Decimal into a Fraction.
𝟖 𝟏𝟎
𝟓𝟓 𝟏𝟎𝟎
𝟏𝟐𝟒 𝟏𝟎𝟎𝟎
÷ 𝟐 𝟐 =
÷ 𝟓 𝟓 =
÷ 𝟒 𝟒 =
𝟒 𝟓
𝟏𝟏 𝟐𝟎
𝟑𝟏 𝟐𝟓𝟎

8. How do you convert a Decimal into a Percentage?
***Move the decimal 2 places to the right and then add a
percentage sign (%).
0.12
0.3
0.782
0.05
= 12%
= 30%
= %
= 5%
= 115%

9. How do you convert a Percent into a Decimal?
***Move the decimal point 2 places to the left and remove
the percentage sign.
56%
83.9% 4%
60% % = = =
= 0.6 =