What is 0.15120 as a fraction?

Answer: 0.15120 as a fraction equals 15120/100000 or 189/1250

Here is the solution for converting 0.15120 to a fraction:

Step 1:

First, we write 0.15120 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!

0.15120/1

  =  

0.15120 x 100000/1 x 100000

  =  

15120/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 15120 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 15120 are: 1  2  3  4  5  6  7  8  9  10  12  14  15  16  18  20  21  24  27  28  30  35  36  40  42  45  48  54  56  60  63  70  72  80  84  90  105  108  112  120  126  135  140  144  168  180  189  210  216  240  252  270  280  315  336  360  378  420  432  504  540  560  630  720  756  840  945  1008  1080  1260  1512  1680  1890  2160  2520  3024  3780  5040  7560  15120 
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 15120 and 100000 that gives us a GCF value of: 80

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.

15120/100000

  =  

15120 ÷ 80/100000 ÷ 80

  =  

189/1250

Good work! We have just walked through the steps on how to represent 0.15120 as a fraction.