What is 1.52658 as a fraction?

Answer: 1.52658 as a fraction equals 152658/100000 or 76329/50000

Here is the solution for converting 1.52658 to a fraction:

Step 1:

First, we write 1.52658 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!

1.52658/1

  =  

1.52658 x 100000/1 x 100000

  =  

152658/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 152658 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 152658 are: 1  2  3  6  9  11  18  22  27  33  54  66  99  198  257  297  514  594  771  1542  2313  2827  4626  5654  6939  8481  13878  16962  25443  50886  76329  152658 
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 152658 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.

152658/100000

  =  

152658 ÷ 2/100000 ÷ 2

  =  

76329/50000

Good work! We have just walked through the steps on how to represent 1.52658 as a fraction.