What is 1.53088 as a fraction?

Answer: 1.53088 as a fraction equals 153088/100000 or 4784/3125

Here is the solution for converting 1.53088 to a fraction:

Step 1:

First, we write 1.53088 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!

1.53088/1

  =  

1.53088 x 100000/1 x 100000

  =  

153088/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 153088 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 153088 are: 1  2  4  8  13  16  23  26  32  46  52  64  92  104  128  184  208  256  299  368  416  512  598  736  832  1196  1472  1664  2392  2944  3328  4784  5888  6656  9568  11776  19136  38272  76544  153088 
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 153088 and 100000 that gives us a GCF value of: 32

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.

153088/100000

  =  

153088 ÷ 32/100000 ÷ 32

  =  

4784/3125

Good work! We have just walked through the steps on how to represent 1.53088 as a fraction.