What is 7.70588 as a fraction?

Answer: 7.70588 as a fraction equals 770588/100000 or 192647/25000

Here is the solution for converting 7.70588 to a fraction:

Step 1:

First, we write 7.70588 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!

7.70588/1

  =  

7.70588 x 100000/1 x 100000

  =  

770588/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 770588 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 770588 are: 1  2  4  7  13  14  26  28  29  52  58  73  91  116  146  182  203  292  364  377  406  511  754  812  949  1022  1508  1898  2044  2117  2639  3796  4234  5278  6643  8468  10556  13286  14819  26572  27521  29638  55042  59276  110084  192647  385294  770588 
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 770588 and 100000 that gives us a GCF value of: 4

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.

770588/100000

  =  

770588 ÷ 4/100000 ÷ 4

  =  

192647/25000

Good work! We have just walked through the steps on how to represent 7.70588 as a fraction.