What is 7.54688 as a fraction?

Answer: 7.54688 as a fraction equals 754688/100000 or 23584/3125

Here is the solution for converting 7.54688 to a fraction:

Step 1:

First, we write 7.54688 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!

7.54688/1

  =  

7.54688 x 100000/1 x 100000

  =  

754688/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 754688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 754688 are: 1  2  4  8  11  16  22  32  44  64  67  88  128  134  176  256  268  352  512  536  704  737  1024  1072  1408  1474  2144  2816  2948  4288  5632  5896  8576  11264  11792  17152  23584  34304  47168  68608  94336  188672  377344  754688 
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 754688 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.

754688/100000

  =  

754688 ÷ 32/100000 ÷ 32

  =  

23584/3125

Good work! We have just walked through the steps on how to represent 7.54688 as a fraction.