What is 1.88976 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 1.88976 into a fraction.

Answer: 1.88976 as a fraction equals 188976/100000 or 11811/6250

Here is the solution for converting 1.88976 to a fraction:

Step 1:

First, we write 1.88976 as  
1.88976/1

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!
1.88976/1
  =  
1.88976 x 100000/1 x 100000
  =  
188976/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 188976 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 188976 are: 1  2  3  4  6  8  12  16  24  31  48  62  93  124  127  186  248  254  372  381  496  508  744  762  1016  1488  1524  2032  3048  3937  6096  7874  11811  15748  23622  31496  47244  62992  94488  188976 
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 188976 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.
188976/100000
  =  
188976 ÷ 16/100000 ÷ 16
  =  
11811/6250


Good work! We have just walked through the steps on how to represent 1.88976 as a fraction.

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