What is 4.42512 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 4.42512 into a fraction.

Answer: 4.42512 as a fraction equals 442512/100000 or 27657/6250

Here is the solution for converting 4.42512 to a fraction:

Step 1:

First, we write 4.42512 as  
4.42512/1

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!
4.42512/1
  =  
4.42512 x 100000/1 x 100000
  =  
442512/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 442512 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 442512 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  36  42  48  56  63  72  84  112  126  144  168  252  336  439  504  878  1008  1317  1756  2634  3073  3512  3951  5268  6146  7024  7902  9219  10536  12292  15804  18438  21072  24584  27657  31608  36876  49168  55314  63216  73752  110628  147504  221256  442512 
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 442512 and 100000 that gives us a GCF value of: 16

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.
442512/100000
  =  
442512 ÷ 16/100000 ÷ 16
  =  
27657/6250


Good work! We have just walked through the steps on how to represent 4.42512 as a fraction.

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