What is 3.46332 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 3.46332 into a fraction.

Answer: 3.46332 as a fraction equals 346332/100000 or 86583/25000

Here is the solution for converting 3.46332 to a fraction:

Step 1:

First, we write 3.46332 as  
3.46332/1

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!
3.46332/1
  =  
3.46332 x 100000/1 x 100000
  =  
346332/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 346332 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 346332 are: 1  2  3  4  6  7  12  14  19  21  28  31  38  42  49  57  62  76  84  93  98  114  124  133  147  186  196  217  228  266  294  372  399  434  532  588  589  651  798  868  931  1178  1302  1519  1596  1767  1862  2356  2604  2793  3038  3534  3724  4123  4557  5586  6076  7068  8246  9114  11172  12369  16492  18228  24738  28861  49476  57722  86583  115444  173166  346332 
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 346332 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.
346332/100000
  =  
346332 ÷ 4/100000 ÷ 4
  =  
86583/25000


Good work! We have just walked through the steps on how to represent 3.46332 as a fraction.

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