FRACTION CONVERSION
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FRACTION CONVERSION, Exercises of Elementary Mathematics
Learn to write fractions as decimals, and vice versa, and to determine whether a decimal is terminating or repeating. Course 2 ...
Typology: Exercises
2022/2023
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FRACTION CONVERSION
Warm Up
Write each fraction in
the simplest form.
or 1
Vocabulary
Terminating decimal
Repeating decimal
Non-terminating decimal
Non-repeating decimal
Insert Lesson Title
Here
Course 2
Terminating Decimal
A decimal that ends with a
specific digit
Examples:
2.
5.
0.
Course 2
Non-terminating Decimal
.
A decimal that does not end or repeat
Examples:
= Approximately
3 4159265358979323846โฆโฆโฆ
โ5 = Approximately
2.236067976โฆโฆโฆ
Non-repeating Decimal
A decimal that does not repeat
Examples:
= Approximately
3.14159265358979323846โฆโฆโฆ
2.13133133313333โฆโฆโฆ
Step 1: Find a number you can multiply by the
bottom of the fraction to make it 10, or 100, or
1000, or any 1 followed by 0s.
Step 2: Multiply both top and bottom by that
number.
Step 3. Then write down just the top number, putting
the decimal place in the correct spot (one space from
the right for every zero in the bottom number)
x
Example 2: Using Mental Math to Write
Fractions as Decimals
Write each fraction as a decimal.
A.
Multiply to get a power of
5 2 10 ten in the denominator.
B.
x
Multiply to get a power of
ten in the denominator.
Converting fractions
to decimals
( Second Method.)
Example 1: Writing Fractions
as Decimals
- Write each fraction as a decimal. Round to the
- nearest hundredth, if necessary.
- 3 - 18 - 18
A.
1
4
0.2 5
B.
9
5
C.
5
1.6 6 6
4 1.
- 8
20
- 20
0
1
4
= 0.
5 9.
- 5
40
- 40
0
9 = 1.
5
3 5.
- 3
20
20
- 18
20
5 โ 1.
3
2
The decimals 0.75 and 1.2 in Example 1 are
terminating decimals because the decimals
comes to an end. The decimal 0.333โฆis a
repeating decimal because the decimal
repeats a pattern forever. You can also write a
repeating decimal with a bar over the repeating
part.
Write each decimal as a fraction in simplest
form.
Example 3: Writing Decimals
as Fractions
A. 0.018 B. 1.
18 รท 2
1,000 รท 2
155 รท 5
100 รท 5
or 1
You read the decimal 0.018 as โeighteen thousandths.โ
Terminating
Decimals as
Fractions
Course 2
The terminating decimal with n 12.041 is
expressed as a fraction as follows:
=
๐๐
๐๐๐๐
=
๐๐ ๐๐๐๐ + ๐๐
๐๐๐๐
=
๐๐ ๐๐๐
Course 2
๐๐๐๐