What is 3.50262 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 3.50262 into a fraction.

Answer: 3.50262 as a fraction equals 350262/100000 or 175131/50000

Here is the solution for converting 3.50262 to a fraction:

Step 1:

First, we write 3.50262 as  
3.50262/1

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!
3.50262/1
  =  
3.50262 x 100000/1 x 100000
  =  
350262/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 350262 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 350262 are: 1  2  3  6  9  11  18  22  29  33  58  61  66  87  99  122  174  183  198  261  319  366  522  549  638  671  957  1098  1342  1769  1914  2013  2871  3538  4026  5307  5742  6039  10614  12078  15921  19459  31842  38918  58377  116754  175131  350262 
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 350262 and 100000 that gives us a GCF value of: 2

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.
350262/100000
  =  
350262 ÷ 2/100000 ÷ 2
  =  
175131/50000


Good work! We have just walked through the steps on how to represent 3.50262 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