What is 2.94624 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 2.94624 into a fraction.

Answer: 2.94624 as a fraction equals 294624/100000 or 9207/3125

Here is the solution for converting 2.94624 to a fraction:

Step 1:

First, we write 2.94624 as  
2.94624/1

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!
2.94624/1
  =  
2.94624 x 100000/1 x 100000
  =  
294624/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 294624 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 294624 are: 1  2  3  4  6  8  9  11  12  16  18  22  24  27  31  32  33  36  44  48  54  62  66  72  88  93  96  99  108  124  132  144  176  186  198  216  248  264  279  288  297  341  352  372  396  432  496  528  558  594  682  744  792  837  864  992  1023  1056  1116  1188  1364  1488  1584  1674  2046  2232  2376  2728  2976  3069  3168  3348  4092  4464  4752  5456  6138  6696  8184  8928  9207  9504  10912  12276  13392  16368  18414  24552  26784  32736  36828  49104  73656  98208  147312  294624 
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 294624 and 100000 that gives us a GCF value of: 32

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.
294624/100000
  =  
294624 ÷ 32/100000 ÷ 32
  =  
9207/3125


Good work! We have just walked through the steps on how to represent 2.94624 as a fraction.

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