What is 0.75072 as a fraction?

Answer: 0.75072 as a fraction equals 75072/100000 or 2346/3125

Here is the solution for converting 0.75072 to a fraction:

Step 1:

First, we write 0.75072 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!

0.75072/1

  =  

0.75072 x 100000/1 x 100000

  =  

75072/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75072 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 75072 are: 1  2  3  4  6  8  12  16  17  23  24  32  34  46  48  51  64  68  69  92  96  102  136  138  184  192  204  272  276  368  391  408  544  552  736  782  816  1088  1104  1173  1472  1564  1632  2208  2346  3128  3264  4416  4692  6256  9384  12512  18768  25024  37536  75072 
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 75072 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.

75072/100000

  =  

75072 ÷ 32/100000 ÷ 32

  =  

2346/3125

Good work! We have just walked through the steps on how to represent 0.75072 as a fraction.