3.3 Convert Fractions to Terminating
Decimals
Common Core Standards
7.EE.3. Solve multi-step real-life and mathematical problems posed
with positive and negative rational numbers in any form (whole
numbers, fractions, and decimals), using tools strategically. Apply
properties of operations to calculate with numbers in any form;
convert between forms as appropriate; and assess the
reasonableness of answers using mental computation and
estimation strategies. For example: If a woman making $25 an hour
gets a 10% raise, she will make an additional 1/10 of her salary an
hour, or $2.50, for a new salary of $27.50. If you want to place a
towel bar 9 3/4 inches long in the center of a door that is 27 1/2
inches wide, you will need to place the bar about 9 inches from
each edge; this estimate can be used as a check on the exact
computation.
WARM-UP
Write each fraction or mixed number as a decimal.
1
1)
10
9
2) 14
10
3
3) 9
100
43
4)
100
9
5) 8
1,000
59
6) 3
1,000
Convert Simple Fractions to
Terminating Decimals
How do we turn fractions not over 10, 100, or a 1,000
into a decimal?
1
7
2
1
4
3
5
3
2
8
NOTES
To convert a simple fraction to a terminating decimal
find an equivalent fraction with a denominator of 10,
100, or 1,000.
Examples
Convert the fractions to decimals.
1
2
1
25
3
9
5
EXAMPLES
Ralph mixed pink paint according to the following ratio.
What portion of the total paint shown will be red paint?
Express your answer as a fraction and decimal.
Gallons
Red
White
Total
2
3
5
NOTES
When 8 is the denominator we need to convert to
thousandths.
Examples
Convert the fractions to decimals.
3
8
5
2
8
NOTES
It is helpful to convert improper fractions to mixed
numbers before finding the equivalent fractions.
Examples
Convert the fractions to decimals.
9
4
27
25
EXAMPLES
Which improper fraction is equal 2.3?
3
2
9
8
23
10
NOTES
If a fraction isn't easily put over 10, 100, or 1000 look
to simplify.
Examples
Convert the fractions to decimals.
3
12
3
75
6
4
15
EXAMPLES
Convert the fractions to dollars and cents.
1
5 dollars
4
9
of a dollar
12
EXAMPLES
Convert the fraction to a decimal.
0
1
4
1
2
3
?
4
PRACTICE
Convert the fractions or mixed number to decimals.
9
7
20
33
2
44
13
5
7
8
PRACTICE
Which improper fraction is equal 2.4?
22
10
24
11
12
5
FINAL QUESTION
Kasey mixed pink paint according to the following ratio.
What portion of the gallon of paint shown will be red
paint? Express your answer as a fraction and decimal.
Red
White
Total
4
1
5
1.0
.9
.8
.7
.6
.5
.4
.3
.2
.1
1 gallon