Page 25
Converting A Fraction To A Decimal Number
To convert a fraction to its decimal form divide the denominator into the numerator. If you have a
mixed number you can change it into an improper fraction first if you like.
Example 1
2
Convert to a decimal
5
.4
5) 2.0 = 5) 2.0 = 0.4
Example 2
3
Convert
to a decimal
4
.75
4) 3.0 = 4 ) 3.00 = 0.75
Example 3
Convert 2
2
1
to a decimal
2
1 5
=
2 2
2.5
2) 5.0 = 2) 5.0 = 2.5
Change each fraction to an equivalent decimal. No Calculators Allowed. Show your work.
2
3
13
1.
2.
3.
5
8
4
4.
6
3
4
Page 25 answers
1. 0.4
Chapter 1
2. .375
3. 3.25
4. 6.75
© 2015 Eitel
page 26
Converting a Decimal Number To a Fraction
Every decimal number can be converted into a proper fraction or a mixed number. The digits to the
LEFT of the decimal are the whole number part of the mixed number. The digits to the RIGHT of the
decimal represent the fractional part. The decimal place of the digit farthest to the right determines the
value of the denominator of the fraction.
The first place to the right of a decimal is the tenths place.
.9 is read 9 tenths and is
9
written as the fraction
10
5.7 is read 5 and 7 tenths and is
written as the mixed number 5
7
10
The second place to the right of the decimal is the hundredths place.
.18 is read 18 hundredths and is
18
written as the fraction
100
4.27 is read 4 and 27 hundredths and is
27
written as the mixed number 4
100
To convert a decimal to a fraction place the whole number part in front of a fraction with the part to the
right of the decimal over either 10 or 100 or 1000 etc. depending on where the last digit ends. You
must then reduce the fraction if it can be reduced.
Example 1
Example 2
.4
is read 4 tenths
0.75
is read 75 hundredths
4
=
10
2
=
5
75
=
100
7/ 5/ 3 3
=
=
1/ 0/ 0/ 4 4
Example 53
2.35
is read 2 and 35 hundredths
35
100
3/ 5/ 7
=2
1/ 0/ 0/ 20
7
=2
20
=2
Change each decimal to an equivalent fraction or mixed number and reduce if possible.
1.
.7
Page 26 answers
7
3
1.
2.
10
5
Chapter 1
2.
.6
3.
6
25
3.
4.
.24
4.
.35
7
20
© 2015 Eitel
page 27
Converting A Percent To A Decimal
To convert a percent (part of a hundred) to its decimal form move the decimal two places to the
left and remove the % sign.
23% = .23
54% = .54
345% = 3.45
43% = .43
If there are not enough digits to allow you to move the decimal to the left two places then add zeros to
the left of your number and then move the decimal two places to the left.
8.4% = 0.084
.72% = 0.0072
.023% = 0.00023
Convert each percent to its decimal form.
1. 35%
Answers
1. .35
2. 6.2%
2. .062
3. 217%
3. 2.17
4. 8.5%
4. .085
5. 0.2%
5. .002
Converting A Decimal Number To A Percent.
To convert a decimal number to its percent form move the decimal two places to the right and add a %
sign.
0.34 = 34%
3.56 = 356%
0.03 = 3%
0.0023 = .23%
Convert each decimal to its percent form.
11.
0.43
Answers
11. 43%
Chapter 1
12. 0.06
12. 6%
13. 17%
13.
0.17
14. 312%
14. 3.12
15. 0.3
15. 30%
© 2015 Eitel