What is 3.33152 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 3.33152 into a fraction.

Answer: 3.33152 as a fraction equals 333152/100000 or 10411/3125

Here is the solution for converting 3.33152 to a fraction:

Step 1:

First, we write 3.33152 as  
3.33152/1

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!
3.33152/1
  =  
3.33152 x 100000/1 x 100000
  =  
333152/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 333152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 333152 are: 1  2  4  8  16  29  32  58  116  232  359  464  718  928  1436  2872  5744  10411  11488  20822  41644  83288  166576  333152 
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 333152 and 100000 that gives us a GCF value of: 32

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.
333152/100000
  =  
333152 ÷ 32/100000 ÷ 32
  =  
10411/3125


Good work! We have just walked through the steps on how to represent 3.33152 as a fraction.

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