What is 1.01898 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 1.01898 into a fraction.

Answer: 1.01898 as a fraction equals 101898/100000 or 50949/50000

Here is the solution for converting 1.01898 to a fraction:

Step 1:

First, we write 1.01898 as  
1.01898/1

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!
1.01898/1
  =  
1.01898 x 100000/1 x 100000
  =  
101898/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 101898 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 101898 are: 1  2  3  6  9  17  18  27  34  37  51  54  74  81  102  111  153  162  222  306  333  459  629  666  918  999  1258  1377  1887  1998  2754  2997  3774  5661  5994  11322  16983  33966  50949  101898 
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 101898 and 100000 that gives us a GCF value of: 2

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.
101898/100000
  =  
101898 ÷ 2/100000 ÷ 2
  =  
50949/50000


Good work! We have just walked through the steps on how to represent 1.01898 as a fraction.

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