What is 1.90026 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 1.90026 into a fraction.

Answer: 1.90026 as a fraction equals 190026/100000 or 95013/50000

Here is the solution for converting 1.90026 to a fraction:

Step 1:

First, we write 1.90026 as  
1.90026/1

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!
1.90026/1
  =  
1.90026 x 100000/1 x 100000
  =  
190026/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 190026 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 190026 are: 1  2  3  6  9  17  18  23  27  34  46  51  54  69  81  102  138  153  162  207  243  306  391  414  459  486  621  782  918  1173  1242  1377  1863  2346  2754  3519  3726  4131  5589  7038  8262  10557  11178  21114  31671  63342  95013  190026 
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 190026 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.
190026/100000
  =  
190026 ÷ 2/100000 ÷ 2
  =  
95013/50000


Good work! We have just walked through the steps on how to represent 1.90026 as a fraction.

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