What is 6.40152 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 6.40152 into a fraction.

Answer: 6.40152 as a fraction equals 640152/100000 or 80019/12500

Here is the solution for converting 6.40152 to a fraction:

Step 1:

First, we write 6.40152 as  
6.40152/1

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!
6.40152/1
  =  
6.40152 x 100000/1 x 100000
  =  
640152/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 640152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 640152 are: 1  2  3  4  6  8  9  12  17  18  24  34  36  51  68  72  102  136  153  204  306  408  523  612  1046  1224  1569  2092  3138  4184  4707  6276  8891  9414  12552  17782  18828  26673  35564  37656  53346  71128  80019  106692  160038  213384  320076  640152 
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 640152 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.
640152/100000
  =  
640152 ÷ 8/100000 ÷ 8
  =  
80019/12500


Good work! We have just walked through the steps on how to represent 6.40152 as a fraction.

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