What is 0.79764 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 0.79764 into a fraction.

Answer: 0.79764 as a fraction equals 79764/100000 or 19941/25000

Here is the solution for converting 0.79764 to a fraction:

Step 1:

First, we write 0.79764 as  
0.79764/1

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!
0.79764/1
  =  
0.79764 x 100000/1 x 100000
  =  
79764/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 79764 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 79764 are: 1  2  3  4  6  12  17  23  34  46  51  68  69  92  102  138  204  276  289  391  578  782  867  1156  1173  1564  1734  2346  3468  4692  6647  13294  19941  26588  39882  79764 
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 79764 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.
79764/100000
  =  
79764 ÷ 4/100000 ÷ 4
  =  
19941/25000


Good work! We have just walked through the steps on how to represent 0.79764 as a fraction.

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