What is 1.84224 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 1.84224 into a fraction.

Answer: 1.84224 as a fraction equals 184224/100000 or 5757/3125

Here is the solution for converting 1.84224 to a fraction:

Step 1:

First, we write 1.84224 as  
1.84224/1

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!
1.84224/1
  =  
1.84224 x 100000/1 x 100000
  =  
184224/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 184224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 184224 are: 1  2  3  4  6  8  12  16  19  24  32  38  48  57  76  96  101  114  152  202  228  303  304  404  456  606  608  808  912  1212  1616  1824  1919  2424  3232  3838  4848  5757  7676  9696  11514  15352  23028  30704  46056  61408  92112  184224 
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 184224 and 100000 that gives us a GCF value of: 32

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.
184224/100000
  =  
184224 ÷ 32/100000 ÷ 32
  =  
5757/3125


Good work! We have just walked through the steps on how to represent 1.84224 as a fraction.

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