What is 1.52604 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 1.52604 into a fraction.

Answer: 1.52604 as a fraction equals 152604/100000 or 38151/25000

Here is the solution for converting 1.52604 to a fraction:

Step 1:

First, we write 1.52604 as  
1.52604/1

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!
1.52604/1
  =  
1.52604 x 100000/1 x 100000
  =  
152604/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 152604 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 152604 are: 1  2  3  4  6  9  12  18  27  36  54  81  108  157  162  243  314  324  471  486  628  942  972  1413  1884  2826  4239  5652  8478  12717  16956  25434  38151  50868  76302  152604 
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 152604 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.
152604/100000
  =  
152604 ÷ 4/100000 ÷ 4
  =  
38151/25000


Good work! We have just walked through the steps on how to represent 1.52604 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