What is 1.44072 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 1.44072 into a fraction.

Answer: 1.44072 as a fraction equals 144072/100000 or 18009/12500

Here is the solution for converting 1.44072 to a fraction:

Step 1:

First, we write 1.44072 as  
1.44072/1

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!
1.44072/1
  =  
1.44072 x 100000/1 x 100000
  =  
144072/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 144072 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 144072 are: 1  2  3  4  6  8  9  12  18  23  24  27  29  36  46  54  58  69  72  87  92  108  116  138  174  184  207  216  232  261  276  348  414  522  552  621  667  696  783  828  1044  1242  1334  1566  1656  2001  2088  2484  2668  3132  4002  4968  5336  6003  6264  8004  12006  16008  18009  24012  36018  48024  72036  144072 
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 144072 and 100000 that gives us a GCF value of: 8

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.
144072/100000
  =  
144072 ÷ 8/100000 ÷ 8
  =  
18009/12500


Good work! We have just walked through the steps on how to represent 1.44072 as a fraction.

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