3.2 Convert Terminating Decimals to
Fractions
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 the decimals as fractions or mixed numbers.
1)
.1
4) .009
2) 5.03
5) 14.037
3)
.17
6) .831
Convert Terminating Decimals to
Fractions
If decimals describe fractions with denominators of
10, 100, and 1,000, how do decimals describe other
fractions?
.6
.25
1
4
3
5
.05
1
20
NOTES
Terminating decimals are decimals that end. To convert
terminating decimals to fractions use the correct place
value and simplify by dividing top and bottom by a
divisor of 10, 100, or 1,000.
Examples
Write each terminating decimal as a fraction or mixed
number in simplest form.
.2
5.06
.12
9.028
EXAMPLES
Write each terminating decimal as a fraction or mixed
number in simplest form.
8.5
3.25
.75
13.075
EXAMPLES
What fraction of the tank is shaded?
1.0
.9
.8
.7
.6
.5
.4
.3
.2
.1
EXAMPLES
The newspaper listed the standings for several
basketball teams.
Spurs
.750
Hornets .500
Grizzlies .325
What fraction of the time did the Spurs win?
What fraction of the time did the Hornets win?
What fraction of the time did the Grizzlies win?
PRACTICE
Identify the type of decimal.
7.129
Write as a fraction or mixed number in simplest form.
7.8
.002
.320
19.085
FINAL QUESTION
The newspaper listed the standings for several
basketball teams.
Bulls
Kings
.600
.450
Kincks .375
What fraction of the time did each team win?