What is 1.78296 as a fraction?

Answer: 1.78296 as a fraction equals 178296/100000 or 22287/12500

Here is the solution for converting 1.78296 to a fraction:

Step 1:

First, we write 1.78296 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!

1.78296/1

  =  

1.78296 x 100000/1 x 100000

  =  

178296/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 178296 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 178296 are: 1  2  3  4  6  8  12  17  19  23  24  34  38  46  51  57  68  69  76  92  102  114  136  138  152  184  204  228  276  323  391  408  437  456  552  646  782  874  969  1173  1292  1311  1564  1748  1938  2346  2584  2622  3128  3496  3876  4692  5244  7429  7752  9384  10488  14858  22287  29716  44574  59432  89148  178296 
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 178296 and 100000 that gives us a GCF value of: 8

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.

178296/100000

  =  

178296 ÷ 8/100000 ÷ 8

  =  

22287/12500

Good work! We have just walked through the steps on how to represent 1.78296 as a fraction.