What is 7.57944 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 7.57944 into a fraction.

Answer: 7.57944 as a fraction equals 757944/100000 or 94743/12500

Here is the solution for converting 7.57944 to a fraction:

Step 1:

First, we write 7.57944 as  
7.57944/1

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!
7.57944/1
  =  
7.57944 x 100000/1 x 100000
  =  
757944/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 757944 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 757944 are: 1  2  3  4  6  8  9  11  12  18  22  24  27  29  33  36  44  54  58  66  72  87  88  99  108  116  121  132  174  198  216  232  242  261  264  297  319  348  363  396  484  522  594  638  696  726  783  792  957  968  1044  1089  1188  1276  1452  1566  1914  2088  2178  2376  2552  2871  2904  3132  3267  3509  3828  4356  5742  6264  6534  7018  7656  8613  8712  10527  11484  13068  14036  17226  21054  22968  26136  28072  31581  34452  42108  63162  68904  84216  94743  126324  189486  252648  378972  757944 
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 757944 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.
757944/100000
  =  
757944 ÷ 8/100000 ÷ 8
  =  
94743/12500


Good work! We have just walked through the steps on how to represent 7.57944 as a fraction.

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