What is 4.21512 as a fraction?

Answer: 4.21512 as a fraction equals 421512/100000 or 52689/12500

Here is the solution for converting 4.21512 to a fraction:

Step 1:

First, we write 4.21512 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!

4.21512/1

  =  

4.21512 x 100000/1 x 100000

  =  

421512/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 421512 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 421512 are: 1  2  3  4  6  7  8  12  13  14  21  24  26  28  39  42  52  56  78  84  91  104  156  168  182  193  273  312  364  386  546  579  728  772  1092  1158  1351  1544  2184  2316  2509  2702  4053  4632  5018  5404  7527  8106  10036  10808  15054  16212  17563  20072  30108  32424  35126  52689  60216  70252  105378  140504  210756  421512 
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 421512 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.

421512/100000

  =  

421512 ÷ 8/100000 ÷ 8

  =  

52689/12500

Good work! We have just walked through the steps on how to represent 4.21512 as a fraction.