5'8 Changing Fractions to Decimals

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5.8 Changing Fractions to Decimals
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Writing a Fraction as a Decimal
To write a fraction as a decimal, divide the
numerator by the denominator. Round to the
nearest hundredth.
0.6
2
31 50

50) 31
Because 50 cannot go into 31, add a decimal point
and a 0 to 31.
.0
0
- 30 0
1 0
0
- 1 00
0
31 50

0.62
You can also get the decimal equivalent by
dividing 31 by 50 on the calculator, too. Try it!
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More Examples Continued
Write the fraction as a decimal.
0.8
4 5
4 5

0.8
5) 4
.0
- 4 0
0
0.3
7
5
8) 3
.0
0
0
- 2 4
3 8
3 8

0.375
6
0
- 56
4
0
- 40
0
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Writing a Mixed Number as a Decimal
0.1
2
5
1 8
Step 1 Divide 1 by 8.
2

8) 1
.0
0
0
- 8
Step 2 Add the whole number and the decimal.
2
0
- 16
4
0
- 40
0
2 0.125 2.125
Simply add the 2 to the decimal.
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Repeating Decimals
Sometimes you may get a decimal that might
repeat. Heres how you solve these problems.
1
.1
6
6
1
7 6
6) 7
.0
0
0
Because the 6 repeats, you write the decimal as
1.16.
- 6
1
0
- 6
The line goes over ONLY the digit or digits that
repeat.
4
0
- 36
4
0
- 36
4
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Repeating Decimals Cont.
5 33
1
0.1
5
1
5
33) 5
.0
0
0
0
- 3 3
Because the 1 and 5 repeat, the line MUST be over
both numbers.
1 7
0
- 1 6 5
5
0
- 3 3
1 7
0
Add the whole and the decimal together to give
you 1.15.
- 1 6 5
5
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Now You Try!
0.6
6
2 3
1 4
0.2
5
3) 2
.0
0
0.6
4) 1
.0
0
- 1 8
0.25
- 8
2
0
2
0
- 1 8
- 20
2
0
0.1
6
6
1 6
8 9
0.8
8
6) 1
.0
0
0
5
9) 8
.0
0
5.8
- 6
0.16
-7 2
4
0
8
0
-36
- 72
4
0
8
-36
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