What is 1.10656 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 1.10656 into a fraction.

Answer: 1.10656 as a fraction equals 110656/100000 or 3458/3125

Here is the solution for converting 1.10656 to a fraction:

Step 1:

First, we write 1.10656 as  
1.10656/1

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!
1.10656/1
  =  
1.10656 x 100000/1 x 100000
  =  
110656/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 110656 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 110656 are: 1  2  4  7  8  13  14  16  19  26  28  32  38  52  56  64  76  91  104  112  133  152  182  208  224  247  266  304  364  416  448  494  532  608  728  832  988  1064  1216  1456  1729  1976  2128  2912  3458  3952  4256  5824  6916  7904  8512  13832  15808  27664  55328  110656 
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 110656 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.
110656/100000
  =  
110656 ÷ 32/100000 ÷ 32
  =  
3458/3125


Good work! We have just walked through the steps on how to represent 1.10656 as a fraction.

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