Question 94613
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
<pre><font size = 3><b>
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 {{{85/100}}}
5. Reduce the fraction {{{85/100}}} by dividing both numerator
   and denominator by 5, getting {{{17/20}}} 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 {{{98/10}}}
5. Reduce the fraction {{{98/10}}} by dividing both numerator
   and denominator by 2, getting {{{49/5}}} as the final answer.
6. This is an improper fraction, so you can change that to {{{9}}}{{{4/5}}}
   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 {{{7/10}}}
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 {{{1/10}}}
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 {{{4008/1000}}}
5. Reduce the fraction {{{4008/1000}}} by dividing both numerator
   and denominator by 8, getting {{{501/125}}} as the final answer.
6. This is an improper fraction, so you can change that to {{{5}}}{{{1/125}}}
   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 {{{3199/1000}}} 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 {{{3}}}{{{199/1000}}}
   if your teacher wants a mixed fraction.

Edwin</pre>