What is 1.79676 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 1.79676 into a fraction.

Answer: 1.79676 as a fraction equals 179676/100000 or 44919/25000

Here is the solution for converting 1.79676 to a fraction:

Step 1:

First, we write 1.79676 as  
1.79676/1

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!
1.79676/1
  =  
1.79676 x 100000/1 x 100000
  =  
179676/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 179676 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 179676 are: 1  2  3  4  6  7  9  12  14  18  21  23  28  31  36  42  46  62  63  69  84  92  93  124  126  138  161  186  207  217  252  276  279  322  372  414  434  483  558  644  651  713  828  868  966  1116  1302  1426  1449  1932  1953  2139  2604  2852  2898  3906  4278  4991  5796  6417  7812  8556  9982  12834  14973  19964  25668  29946  44919  59892  89838  179676 
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 179676 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.
179676/100000
  =  
179676 ÷ 4/100000 ÷ 4
  =  
44919/25000


Good work! We have just walked through the steps on how to represent 1.79676 as a fraction.

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