What is 1.18272 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 1.18272 into a fraction.

Answer: 1.18272 as a fraction equals 118272/100000 or 3696/3125

Here is the solution for converting 1.18272 to a fraction:

Step 1:

First, we write 1.18272 as  
1.18272/1

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!
1.18272/1
  =  
1.18272 x 100000/1 x 100000
  =  
118272/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 118272 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 118272 are: 1  2  3  4  6  7  8  11  12  14  16  21  22  24  28  32  33  42  44  48  56  64  66  77  84  88  96  112  128  132  154  168  176  192  224  231  256  264  308  336  352  384  448  462  512  528  616  672  704  768  896  924  1056  1232  1344  1408  1536  1792  1848  2112  2464  2688  2816  3584  3696  4224  4928  5376  5632  7392  8448  9856  10752  14784  16896  19712  29568  39424  59136  118272 
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 118272 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.
118272/100000
  =  
118272 ÷ 32/100000 ÷ 32
  =  
3696/3125


Good work! We have just walked through the steps on how to represent 1.18272 as a fraction.

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