What is 4.00452 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 4.00452 into a fraction.

Answer: 4.00452 as a fraction equals 400452/100000 or 100113/25000

Here is the solution for converting 4.00452 to a fraction:

Step 1:

First, we write 4.00452 as  
4.00452/1

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!
4.00452/1
  =  
4.00452 x 100000/1 x 100000
  =  
400452/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 400452 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 400452 are: 1  2  3  4  6  12  13  17  26  34  39  51  52  68  78  102  151  156  204  221  302  442  453  604  663  884  906  1326  1812  1963  2567  2652  3926  5134  5889  7701  7852  10268  11778  15402  23556  30804  33371  66742  100113  133484  200226  400452 
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 400452 and 100000 that gives us a GCF value of: 4

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.
400452/100000
  =  
400452 ÷ 4/100000 ÷ 4
  =  
100113/25000


Good work! We have just walked through the steps on how to represent 4.00452 as a fraction.

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