What is 1.09512 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 1.09512 into a fraction.

Answer: 1.09512 as a fraction equals 109512/100000 or 13689/12500

Here is the solution for converting 1.09512 to a fraction:

Step 1:

First, we write 1.09512 as  
1.09512/1

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!
1.09512/1
  =  
1.09512 x 100000/1 x 100000
  =  
109512/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 109512 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 109512 are: 1  2  3  4  6  8  9  12  13  18  24  26  27  36  39  52  54  72  78  81  104  108  117  156  162  169  216  234  312  324  338  351  468  507  648  676  702  936  1014  1053  1352  1404  1521  2028  2106  2808  3042  4056  4212  4563  6084  8424  9126  12168  13689  18252  27378  36504  54756  109512 
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 109512 and 100000 that gives us a GCF value of: 8

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.
109512/100000
  =  
109512 ÷ 8/100000 ÷ 8
  =  
13689/12500


Good work! We have just walked through the steps on how to represent 1.09512 as a fraction.

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