What is 7.74528 as a fraction?

Answer: 7.74528 as a fraction equals 774528/100000 or 24204/3125

Here is the solution for converting 7.74528 to a fraction:

Step 1:

First, we write 7.74528 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!

7.74528/1

  =  

7.74528 x 100000/1 x 100000

  =  

774528/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 774528 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 774528 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  128  192  384  2017  4034  6051  8068  12102  16136  24204  32272  48408  64544  96816  129088  193632  258176  387264  774528 
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 774528 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.

774528/100000

  =  

774528 ÷ 32/100000 ÷ 32

  =  

24204/3125

Good work! We have just walked through the steps on how to represent 7.74528 as a fraction.