What is 1.45692 as a fraction?

Answer: 1.45692 as a fraction equals 145692/100000 or 36423/25000

Here is the solution for converting 1.45692 to a fraction:

Step 1:

First, we write 1.45692 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!

1.45692/1

  =  

1.45692 x 100000/1 x 100000

  =  

145692/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 145692 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 145692 are: 1  2  3  4  6  9  12  18  19  27  36  38  54  57  71  76  108  114  142  171  213  228  284  342  426  513  639  684  852  1026  1278  1349  1917  2052  2556  2698  3834  4047  5396  7668  8094  12141  16188  24282  36423  48564  72846  145692 
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 145692 and 100000 that gives us a GCF value of: 4

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.

145692/100000

  =  

145692 ÷ 4/100000 ÷ 4

  =  

36423/25000

Good work! We have just walked through the steps on how to represent 1.45692 as a fraction.