Writing Decimals as Fractions

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Objective
Write decimals as fractions or mixed
numbers in simplest form
Vocabulary
No vocabulary
Example 1 Write Decimals as Fractions
Example 2 Write Decimals as Fractions
Example 3 Write Decimals as Fractions
Example 4 Write Decimals as Mixed Numbers
Write the decimal 0.4 as a fraction in simplest form.
4
10
Write the decimal
Find the place value of the last
digit of the decimal
0.4 means four tenths.
Put place value as denominator
The numerator is the number
to the right of the decimal
without the decimal
1/4
Use calculator to simplify the
fraction
Answer:
1/4
Write the decimal 0.8 as a fraction in simplest form.
Answer:
1/4
Write the decimal 0.38 as a fraction in simplest form.
0.38
Write the decimal
0.38 2nd F-D
Another way to convert
decimals to fractions is using
the calculator
Answer:
Enter the decimal in the calculator
Enter the 2nd (shift) key
Enter the fraction/decimal key
2/4
Write the decimal 0.64 as a fraction in simplest form.
Answer:
2/4
Write the decimal 0.264 as a fraction in simplest form.
0.264
0.264 2nd F-D
Write the decimal
Enter the decimal in the calculator
Enter the 2nd (shift) key
Answer:
Enter the fraction/decimal key
3/4
Write the decimal 0.824 as a fraction in simplest form.
Answer:
3/4
RAINFALL In 1955, Hurricane Diane moved through
New England and produced one of the region’s
heaviest rainfalls in history. In a 24-hour period, 18.15
inches of rain were recorded in one area. Write this
amount as a mixed number in simplest form.
18.15
Write the decimal
Enter the decimal in the calculator
18.15 2nd F-D
Enter the 2nd (shift) key
Answer:
inches
Enter the fraction/decimal key
Add dimensional analysis
4/4
*
BICYCLING While training for a bicycle race, Ted rides
an average of 23.56 miles per day. Write this distance
as a mixed number in simplest form.
Answer:
miles
4/4
Assignment
Lesson 5:6
Writing Decimals as
Fractions
8 - 25 All
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