What is 1.57464 as a fraction?

Answer: 1.57464 as a fraction equals 157464/100000 or 19683/12500

Here is the solution for converting 1.57464 to a fraction:

Step 1:

First, we write 1.57464 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!

1.57464/1

  =  

1.57464 x 100000/1 x 100000

  =  

157464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 157464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 157464 are: 1  2  3  4  6  8  9  12  18  24  27  36  54  72  81  108  162  216  243  324  486  648  729  972  1458  1944  2187  2916  4374  5832  6561  8748  13122  17496  19683  26244  39366  52488  78732  157464 
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 157464 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.

157464/100000

  =  

157464 ÷ 8/100000 ÷ 8

  =  

19683/12500

Good work! We have just walked through the steps on how to represent 1.57464 as a fraction.