What is 1.34568 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 1.34568 into a fraction.

Answer: 1.34568 as a fraction equals 134568/100000 or 16821/12500

Here is the solution for converting 1.34568 to a fraction:

Step 1:

First, we write 1.34568 as  
1.34568/1

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!
1.34568/1
  =  
1.34568 x 100000/1 x 100000
  =  
134568/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 134568 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 134568 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  27  28  36  42  54  56  63  72  84  89  108  126  168  178  189  216  252  267  356  378  504  534  623  712  756  801  1068  1246  1512  1602  1869  2136  2403  2492  3204  3738  4806  4984  5607  6408  7476  9612  11214  14952  16821  19224  22428  33642  44856  67284  134568 
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 134568 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.
134568/100000
  =  
134568 ÷ 8/100000 ÷ 8
  =  
16821/12500


Good work! We have just walked through the steps on how to represent 1.34568 as a fraction.

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