Name: __________________________ Block: ________ Date:____________
Converting Fractions,
Decimals, and Percents
Learning Target 7.1c:
The student will compare and order
fractions, decimals, percents, and
numbers written in scientific
Decimal Conversion
Decimal to Fraction
0.125
1) Take the digits after the decimal and put them over 1.
125
(and drop the decimal)
1
2) Add as many zeros to your denominator as there are digits in your numerator.
125
1000
3) Simplify if needed!
125
=
1000
=
=
Decimal to Percent
0.125
All you have to do is move the decimal two places to the ________ and add a %!
0.125 =
Let’s Practice!
Turn all of the decimals below into fractions and percents.
Fraction
Decimal
0.012
0.07
0.375
1.85
Percent
Percent Conversion
Percent to Decimal
30%
Add a decimal to the end and move the decimal two places to the _____________.
That’s it! Now you have your decimal.
Let’s try a harder one.
12.5%
Percent to Fraction
120%
1) First, change the percent to a decimal.
2) Now, turn the decimal into a fraction.
=
=
Let’s Practice!
Write each percent as a decimal and a fraction.
Fraction
Decimal
Percent
2%
60.5%
28%
1
20 %
2
2
Fraction Conversion
Fraction to Decimal
3
5
Turn your fraction into a division problem!
3÷5
(Use long division!)
Fraction to Percent
3
5
Turn your fraction into a division problem!
3÷5
(Use long division!)
Now, take the decimal and turn it into a percentage. Move the decimal two places
to the ___________ and add a %!
Let’s Practice!
Turn each fraction into a percent and a decimal.
Fraction
Decimal
1
11
1
6
9
20
2
9
Percent
3
Must Knows!!
Fraction
1
8
1
4
3
8
1
2
5
8
3
4
3
4
7
8
Fraction
1
9
2
9
1
3
4
9
5
9
2
3
7
9
8
9
Decimal
Decimal
You must memorize the following conversions.
Percent
Percent
Fraction
1
10
1
5
3
10
2
5
1
2
3
5
7
10
4
5
9
10
Fraction
1
20
3
20
7
20
9
20
11
20
13
20
17
20
19
20
Decimal
Percent
Decimal
Percent
4