What is 6.53676 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 6.53676 into a fraction.

Answer: 6.53676 as a fraction equals 653676/100000 or 163419/25000

Here is the solution for converting 6.53676 to a fraction:

Step 1:

First, we write 6.53676 as  
6.53676/1

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!
6.53676/1
  =  
6.53676 x 100000/1 x 100000
  =  
653676/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 653676 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 653676 are: 1  2  3  4  6  12  19  38  47  57  61  76  94  114  122  141  183  188  228  244  282  366  564  732  893  1159  1786  2318  2679  2867  3477  3572  4636  5358  5734  6954  8601  10716  11468  13908  17202  34404  54473  108946  163419  217892  326838  653676 
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 653676 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.
653676/100000
  =  
653676 ÷ 4/100000 ÷ 4
  =  
163419/25000


Good work! We have just walked through the steps on how to represent 6.53676 as a fraction.

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