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# Turning Fractions into Decimals

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by

## Lisa Wolf

on 23 January 2014

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#### Transcript of Turning Fractions into Decimals

3/5 = 6/10 = .6 4/50 = 8/100 = .08

7/20= 35/100 = .35 8/25= 32/100 = .32

9/125= 72/1000 = .072 14/70= 2/10 = .2

Turning Fractions into Decimals
Next...determine if you can rename your fraction to have a denominator of 10, 100, 1000...?
If all else fails, divide the numerator by the denominator!
If you can't simply create an equivalent fraction with a denominator of 10, 100, 1000.......

then you simply divide the numerator by the denominator to turn your fraction into a decimal.
Is it repeating or terminating?
R&E
1. Examine your denominator- if the denominator is 10 or 100 or 1000...
use your knowledge of place value.

does your fraction have a denominator of 10 or 100 or
1000 or 10,000. (or any other multiple of 10)?

3/10 = .3

3/100 = .03

9/1000 = .009

3/100 =

9/1000 = .
3/10 =

if so...use your knowledge of place value to write a decimal representation
Make an equivalent fraction with a denominator of 10, or 100, or 1000.........and then use your knowledge of place value to turn it into a decimal
3/5 = 7/20= 8/25=

4/50= 14/70= 9/125=
3/7 3 ÷ 7
3 0 0 0
7
.
.
4 2 8 5
2 8
2 0
1 4
6 0
5 6
4 0
3 5
5 0
1/9 1 ÷ 9
1 0 0 0
9
.
1 1 1 1
9
1 0
9
1 0
9
1 0
9
1
3/8 3 ÷ 8
3 0 0 0
8
.
3 7 5
2 4
6 0
5 6
4 0
4 0
0
.
Terminating
.
Repeating
Non-Terminating
Non-Repeating
Non-Terminating
.
3 0 0 0
8
.
9
.
1 0 0 0
3 0 0 0
7
.
A terminating decimal has digits that do not go on forever
A repeating decimal has digits that repeat forever
Turning a fraction into a decimal:
3. Divide the numerator by the
denominator
2. Check to see if you can rename your faction to an equivalent fraction with a denominator of 10, 100, 1000. Write your decimal as in step #1.

Warm up