What is 5.42604 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 5.42604 into a fraction.

Answer: 5.42604 as a fraction equals 542604/100000 or 135651/25000

Here is the solution for converting 5.42604 to a fraction:

Step 1:

First, we write 5.42604 as  
5.42604/1

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!
5.42604/1
  =  
5.42604 x 100000/1 x 100000
  =  
542604/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 542604 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 542604 are: 1  2  3  4  6  12  103  206  309  412  439  618  878  1236  1317  1756  2634  5268  45217  90434  135651  180868  271302  542604 
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 542604 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.
542604/100000
  =  
542604 ÷ 4/100000 ÷ 4
  =  
135651/25000


Good work! We have just walked through the steps on how to represent 5.42604 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