What is 1.87782 as a fraction?

Answer: 1.87782 as a fraction equals 187782/100000 or 93891/50000

Here is the solution for converting 1.87782 to a fraction:

Step 1:

First, we write 1.87782 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!

1.87782/1

  =  

1.87782 x 100000/1 x 100000

  =  

187782/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 187782 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 187782 are: 1  2  3  6  7  14  17  21  34  42  51  102  119  238  263  357  526  714  789  1578  1841  3682  4471  5523  8942  11046  13413  26826  31297  62594  93891  187782 
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 187782 and 100000 that gives us a GCF value of: 2

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.

187782/100000

  =  

187782 ÷ 2/100000 ÷ 2

  =  

93891/50000

Good work! We have just walked through the steps on how to represent 1.87782 as a fraction.