What is 5.42424 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 5.42424 into a fraction.

Answer: 5.42424 as a fraction equals 542424/100000 or 67803/12500

Here is the solution for converting 5.42424 to a fraction:

Step 1:

First, we write 5.42424 as  
5.42424/1

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!
5.42424/1
  =  
5.42424 x 100000/1 x 100000
  =  
542424/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 542424 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 542424 are: 1  2  3  4  6  8  12  24  97  194  233  291  388  466  582  699  776  932  1164  1398  1864  2328  2796  5592  22601  45202  67803  90404  135606  180808  271212  542424 
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 542424 and 100000 that gives us a GCF value of: 8

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.
542424/100000
  =  
542424 ÷ 8/100000 ÷ 8
  =  
67803/12500


Good work! We have just walked through the steps on how to represent 5.42424 as a fraction.

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