What is 1.87264 as a fraction?

Answer: 1.87264 as a fraction equals 187264/100000 or 5852/3125

Here is the solution for converting 1.87264 to a fraction:

Step 1:

First, we write 1.87264 as  

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!

1.87264/1

  =  

1.87264 x 100000/1 x 100000

  =  

187264/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 187264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 187264 are: 1  2  4  7  8  11  14  16  19  22  28  32  38  44  56  64  76  77  88  112  128  133  152  154  176  209  224  266  304  308  352  418  448  532  608  616  704  836  896  1064  1216  1232  1408  1463  1672  2128  2432  2464  2926  3344  4256  4928  5852  6688  8512  9856  11704  13376  17024  23408  26752  46816  93632  187264 
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 187264 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.

187264/100000

  =  

187264 ÷ 32/100000 ÷ 32

  =  

5852/3125

Good work! We have just walked through the steps on how to represent 1.87264 as a fraction.