What is 1.18524 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 1.18524 into a fraction.

Answer: 1.18524 as a fraction equals 118524/100000 or 29631/25000

Here is the solution for converting 1.18524 to a fraction:

Step 1:

First, we write 1.18524 as  
1.18524/1

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!
1.18524/1
  =  
1.18524 x 100000/1 x 100000
  =  
118524/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 118524 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 118524 are: 1  2  3  4  6  7  12  14  17  21  28  34  42  51  68  83  84  102  119  166  204  238  249  332  357  476  498  581  714  996  1162  1411  1428  1743  2324  2822  3486  4233  5644  6972  8466  9877  16932  19754  29631  39508  59262  118524 
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 118524 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.
118524/100000
  =  
118524 ÷ 4/100000 ÷ 4
  =  
29631/25000


Good work! We have just walked through the steps on how to represent 1.18524 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