What is 1.13568 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 1.13568 into a fraction.

Answer: 1.13568 as a fraction equals 113568/100000 or 3549/3125

Here is the solution for converting 1.13568 to a fraction:

Step 1:

First, we write 1.13568 as  
1.13568/1

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!
1.13568/1
  =  
1.13568 x 100000/1 x 100000
  =  
113568/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 113568 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 113568 are: 1  2  3  4  6  7  8  12  13  14  16  21  24  26  28  32  39  42  48  52  56  78  84  91  96  104  112  156  168  169  182  208  224  273  312  336  338  364  416  507  546  624  672  676  728  1014  1092  1183  1248  1352  1456  2028  2184  2366  2704  2912  3549  4056  4368  4732  5408  7098  8112  8736  9464  14196  16224  18928  28392  37856  56784  113568 
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 113568 and 100000 that gives us a GCF value of: 32

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.
113568/100000
  =  
113568 ÷ 32/100000 ÷ 32
  =  
3549/3125


Good work! We have just walked through the steps on how to represent 1.13568 as a fraction.

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