What is 0.75264 as a fraction?

Answer: 0.75264 as a fraction equals 75264/100000 or 2352/3125

Here is the solution for converting 0.75264 to a fraction:

Step 1:

First, we write 0.75264 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!

0.75264/1

  =  

0.75264 x 100000/1 x 100000

  =  

75264/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 75264 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  49  56  64  84  96  98  112  128  147  168  192  196  224  256  294  336  384  392  448  512  588  672  768  784  896  1176  1344  1536  1568  1792  2352  2688  3136  3584  4704  5376  6272  9408  10752  12544  18816  25088  37632  75264 
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 75264 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.

75264/100000

  =  

75264 ÷ 32/100000 ÷ 32

  =  

2352/3125

Good work! We have just walked through the steps on how to represent 0.75264 as a fraction.