What is 0.75768 as a fraction?

Answer: 0.75768 as a fraction equals 75768/100000 or 9471/12500

Here is the solution for converting 0.75768 to a fraction:

Step 1:

First, we write 0.75768 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!

0.75768/1

  =  

0.75768 x 100000/1 x 100000

  =  

75768/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 75768 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 75768 are: 1  2  3  4  6  7  8  11  12  14  21  22  24  28  33  41  42  44  56  66  77  82  84  88  123  132  154  164  168  231  246  264  287  308  328  451  462  492  574  616  861  902  924  984  1148  1353  1722  1804  1848  2296  2706  3157  3444  3608  5412  6314  6888  9471  10824  12628  18942  25256  37884  75768 
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 75768 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.

75768/100000

  =  

75768 ÷ 8/100000 ÷ 8

  =  

9471/12500

Good work! We have just walked through the steps on how to represent 0.75768 as a fraction.