What is 3.75564 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 3.75564 into a fraction.

Answer: 3.75564 as a fraction equals 375564/100000 or 93891/25000

Here is the solution for converting 3.75564 to a fraction:

Step 1:

First, we write 3.75564 as  
3.75564/1

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!
3.75564/1
  =  
3.75564 x 100000/1 x 100000
  =  
375564/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 375564 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 375564 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  51  68  84  102  119  204  238  263  357  476  526  714  789  1052  1428  1578  1841  3156  3682  4471  5523  7364  8942  11046  13413  17884  22092  26826  31297  53652  62594  93891  125188  187782  375564 
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 375564 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.
375564/100000
  =  
375564 ÷ 4/100000 ÷ 4
  =  
93891/25000


Good work! We have just walked through the steps on how to represent 3.75564 as a fraction.

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