What is 1.35564 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 1.35564 into a fraction.

Answer: 1.35564 as a fraction equals 135564/100000 or 33891/25000

Here is the solution for converting 1.35564 to a fraction:

Step 1:

First, we write 1.35564 as  
1.35564/1

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!
1.35564/1
  =  
1.35564 x 100000/1 x 100000
  =  
135564/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 135564 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 135564 are: 1  2  3  4  6  11  12  13  22  26  33  39  44  52  66  78  79  132  143  156  158  237  286  316  429  474  572  858  869  948  1027  1716  1738  2054  2607  3081  3476  4108  5214  6162  10428  11297  12324  22594  33891  45188  67782  135564 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 135564 and 100000 that gives us a GCF value of: 4

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.
135564/100000
  =  
135564 ÷ 4/100000 ÷ 4
  =  
33891/25000


Good work! We have just walked through the steps on how to represent 1.35564 as a fraction.

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