SOLUTION: How do I turn a decimal into a fraction? For example: 0.85 or 9.8 How would I turn those into fractions. I understand it if it's decimals like, 0.7 or 0.1 but not decimals like,

Algebra ->  Decimal-numbers -> SOLUTION: How do I turn a decimal into a fraction? For example: 0.85 or 9.8 How would I turn those into fractions. I understand it if it's decimals like, 0.7 or 0.1 but not decimals like,       Log On


   



Question 94613This question is from textbook Prealgebra
: How do I turn a decimal into a fraction?
For example: 0.85 or 9.8
How would I turn those into fractions. I understand it if it's decimals like, 0.7 or 0.1 but not decimals like, 4.008 or 31.99
This question is from textbook Prealgebra

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I turn a decimal into a fraction?
For example: 0.85 or 9.8
How would I turn those into fractions. I understand it if it's decimals like, 0.7 or 0.1 but not decimals like, 4.008 or 31.99
---------------
0.85 = 85/100
9.8 = 98/10
4.008 = 4008/1000
31.99 = 3199/100
=====================
Cheers,
Stan H.


Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
How do I turn a decimal into a fraction?
For example: 0.85 or 9.8
How would I turn those into fractions. I understand
it if it's decimals like, 0.7 or 0.1 but not decimals
like, 4.008 or 31.99

To turn a decimal into a fraction

1. Count the number of places after the decimal.
2. Construct the denominator as 1 with the same number of 0's after it
   as you counted in step 1.
3. The numerator is the given decimal number with the decimal point erased
   and any 0's in the front erased.
4. Put the numerator for step 3 over the denominator from step 4. 
5. Reduce the fraction.
6. If this is an improper fraction and your teacher wants a mixed fraction,
   change to a mixed fraction.


To change 0.85 into a fraction.
1. There are 2 places after the decimal.
2. The denominator is 1 with 2 0's after it, which is 100
3. The numerator is 0.85 with the decimal point removed and
   the 0 on the front erased.  So the numerator is 85
4. Put the numerator 85 over the denominator 100 as 85%2F100
5. Reduce the fraction 85%2F100 by dividing both numerator
   and denominator by 5, getting 17%2F20 as the final answer.

To change 9.8 to a decimal.
1. There is 1 place after the decimal.
2. The denominator is 1 with one 0 after it, which is 10
3. The numerator is 9.8 with the decimal point removed.
   So the numerator is 98
4. Put the numerator 98 over the denominator 10 as 98%2F10
5. Reduce the fraction 98%2F10 by dividing both numerator
   and denominator by 2, getting 49%2F5 as the final answer.
6. This is an improper fraction, so you can change that to 94%2F5
   if your teacher wants a mixed fraction.

To change 0.7 to a decimal.
1. There is 1 place after the decimal.
2. The denominator is 1 with one 0 after it, which is 10
3. The numerator is 0.7 with the decimal point removed and
   the 0 on the front erased.  So the numerator is 7
4. Put the numerator 7 over the denominator 10 as 7%2F10
5. This is a proper fraction.

To change 0.1 to a decimal.
1. There is 1 place after the decimal.
2. The denominator is 1 with one 0 after it, which is 10
3. The numerator is 0.1 with the decimal point removed and
   the 0 on the front erased.  So the numerator is 1
4. Put the numerator 1 over the denominator 10 as 1%2F10
5. This is a proper fraction.


To change 4.008 to a decimal.
1. There are 3 places after the decimal.
2. The denominator is 1 with 3 0's after it, which is 1000
3. The numerator is 4.008 with the decimal point removed.
   So the numerator is 4008
4. Put the numerator 4008 over the denominator 1000 as 4008%2F1000
5. Reduce the fraction 4008%2F1000 by dividing both numerator
   and denominator by 8, getting 501%2F125 as the final answer.
6. This is an improper fraction, so you can change that to 51%2F125
   if your teacher wants a mixed fraction. 

To change 31.99 to a decimal.
1. There are 2 places after the decimal.
2. The denominator is 1 with 2 0's after it, which is 100
3. The numerator is 31.99 with the decimal point removed.
   So the numerator is 3199
4. Put the numerator 3199 over the denominator 1000 as{{3199/1000}}}
5. The fraction 3199%2F1000 does not reduce so that is
   the final answer, unless your teacher wants mixed fraction
   answers.
6. This is an improper fraction, so you can change that to 3199%2F1000
   if your teacher wants a mixed fraction.

Edwin