What is 1.11888 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 1.11888 into a fraction.

Answer: 1.11888 as a fraction equals 111888/100000 or 6993/6250

Here is the solution for converting 1.11888 to a fraction:

Step 1:

First, we write 1.11888 as  
1.11888/1

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!
1.11888/1
  =  
1.11888 x 100000/1 x 100000
  =  
111888/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 111888 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 111888 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  27  28  36  37  42  48  54  56  63  72  74  84  108  111  112  126  144  148  168  189  216  222  252  259  296  333  336  378  432  444  504  518  592  666  756  777  888  999  1008  1036  1332  1512  1554  1776  1998  2072  2331  2664  3024  3108  3996  4144  4662  5328  6216  6993  7992  9324  12432  13986  15984  18648  27972  37296  55944  111888 
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 111888 and 100000 that gives us a GCF value of: 16

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.
111888/100000
  =  
111888 ÷ 16/100000 ÷ 16
  =  
6993/6250


Good work! We have just walked through the steps on how to represent 1.11888 as a fraction.

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