What is 5.65152 as a fraction?

Answer: 5.65152 as a fraction equals 565152/100000 or 17661/3125

Here is the solution for converting 5.65152 to a fraction:

Step 1:

First, we write 5.65152 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!

5.65152/1

  =  

5.65152 x 100000/1 x 100000

  =  

565152/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 565152 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 565152 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  29  32  42  48  56  58  84  87  96  112  116  168  174  203  224  232  336  348  406  464  609  672  696  812  841  928  1218  1392  1624  1682  2436  2523  2784  3248  3364  4872  5046  5887  6496  6728  9744  10092  11774  13456  17661  19488  20184  23548  26912  35322  40368  47096  70644  80736  94192  141288  188384  282576  565152 
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 565152 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.

565152/100000

  =  

565152 ÷ 32/100000 ÷ 32

  =  

17661/3125

Good work! We have just walked through the steps on how to represent 5.65152 as a fraction.