What is 1.42506 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 1.42506 into a fraction.

Answer: 1.42506 as a fraction equals 142506/100000 or 71253/50000

Here is the solution for converting 1.42506 to a fraction:

Step 1:

First, we write 1.42506 as  
1.42506/1

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!
1.42506/1
  =  
1.42506 x 100000/1 x 100000
  =  
142506/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 142506 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 142506 are: 1  2  3  6  7  9  13  14  18  21  26  27  29  39  42  54  58  63  78  87  91  117  126  174  182  189  203  234  261  273  351  377  378  406  522  546  609  702  754  783  819  1131  1218  1566  1638  1827  2262  2457  2639  3393  3654  4914  5278  5481  6786  7917  10179  10962  15834  20358  23751  47502  71253  142506 
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 142506 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.
142506/100000
  =  
142506 ÷ 2/100000 ÷ 2
  =  
71253/50000


Good work! We have just walked through the steps on how to represent 1.42506 as a fraction.

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