What is 2.97024 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 2.97024 into a fraction.

Answer: 2.97024 as a fraction equals 297024/100000 or 9282/3125

Here is the solution for converting 2.97024 to a fraction:

Step 1:

First, we write 2.97024 as  
2.97024/1

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!
2.97024/1
  =  
2.97024 x 100000/1 x 100000
  =  
297024/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 297024 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 297024 are: 1  2  3  4  6  7  8  12  13  14  16  17  21  24  26  28  32  34  39  42  48  51  52  56  64  68  78  84  91  96  102  104  112  119  136  156  168  182  192  204  208  221  224  238  272  273  312  336  357  364  408  416  442  448  476  544  546  624  663  672  714  728  816  832  884  952  1088  1092  1248  1326  1344  1428  1456  1547  1632  1768  1904  2184  2496  2652  2856  2912  3094  3264  3536  3808  4368  4641  5304  5712  5824  6188  7072  7616  8736  9282  10608  11424  12376  14144  17472  18564  21216  22848  24752  37128  42432  49504  74256  99008  148512  297024 
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 297024 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.
297024/100000
  =  
297024 ÷ 32/100000 ÷ 32
  =  
9282/3125


Good work! We have just walked through the steps on how to represent 2.97024 as a fraction.

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