What is 1.18575 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 1.18575 into a fraction.

Answer: 1.18575 as a fraction equals 118575/100000 or 4743/4000

Here is the solution for converting 1.18575 to a fraction:

Step 1:

First, we write 1.18575 as  
1.18575/1

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!
1.18575/1
  =  
1.18575 x 100000/1 x 100000
  =  
118575/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 118575 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 118575 are: 1  3  5  9  15  17  25  31  45  51  75  85  93  153  155  225  255  279  425  465  527  765  775  1275  1395  1581  2325  2635  3825  4743  6975  7905  13175  23715  39525  118575 
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 118575 and 100000 that gives us a GCF value of: 25

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.
118575/100000
  =  
118575 ÷ 25/100000 ÷ 25
  =  
4743/4000


Good work! We have just walked through the steps on how to represent 1.18575 as a fraction.

Convert any decimal to a fraction

Learn how a variety of decimals are represented as a fraction.

Enter a decimal value:


Examples of decimal to fraction conversions

Practice makes perfect! Gain experience converting decimals into fractions with these examples:



© www.asafraction.net