What is 1.53218 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 1.53218 into a fraction.

Answer: 1.53218 as a fraction equals 153218/100000 or 76609/50000

Here is the solution for converting 1.53218 to a fraction:

Step 1:

First, we write 1.53218 as  
1.53218/1

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!
1.53218/1
  =  
1.53218 x 100000/1 x 100000
  =  
153218/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 153218 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 153218 are: 1  2  13  26  71  83  142  166  923  1079  1846  2158  5893  11786  76609  153218 
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 153218 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.
153218/100000
  =  
153218 ÷ 2/100000 ÷ 2
  =  
76609/50000


Good work! We have just walked through the steps on how to represent 1.53218 as a fraction.

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