What is 1.13696 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 1.13696 into a fraction.

Answer: 1.13696 as a fraction equals 113696/100000 or 3553/3125

Here is the solution for converting 1.13696 to a fraction:

Step 1:

First, we write 1.13696 as  
1.13696/1

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!
1.13696/1
  =  
1.13696 x 100000/1 x 100000
  =  
113696/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 113696 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 113696 are: 1  2  4  8  11  16  17  19  22  32  34  38  44  68  76  88  136  152  176  187  209  272  304  323  352  374  418  544  608  646  748  836  1292  1496  1672  2584  2992  3344  3553  5168  5984  6688  7106  10336  14212  28424  56848  113696 
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 113696 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.
113696/100000
  =  
113696 ÷ 32/100000 ÷ 32
  =  
3553/3125


Good work! We have just walked through the steps on how to represent 1.13696 as a fraction.

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