What is 0.77056 as a fraction?

Answer: 0.77056 as a fraction equals 77056/100000 or 2408/3125

Here is the solution for converting 0.77056 to a fraction:

Step 1:

First, we write 0.77056 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!

0.77056/1

  =  

0.77056 x 100000/1 x 100000

  =  

77056/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 77056 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 77056 are: 1  2  4  7  8  14  16  28  32  43  56  64  86  112  128  172  224  256  301  344  448  602  688  896  1204  1376  1792  2408  2752  4816  5504  9632  11008  19264  38528  77056 
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 77056 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.

77056/100000

  =  

77056 ÷ 32/100000 ÷ 32

  =  

2408/3125

Good work! We have just walked through the steps on how to represent 0.77056 as a fraction.