What is 7.59375 as a fraction?

Answer: 7.59375 as a fraction equals 759375/100000 or 243/32

Here is the solution for converting 7.59375 to a fraction:

Step 1:

First, we write 7.59375 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!

7.59375/1

  =  

7.59375 x 100000/1 x 100000

  =  

759375/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 759375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 759375 are: 1  3  5  9  15  25  27  45  75  81  125  135  225  243  375  405  625  675  1125  1215  1875  2025  3125  3375  5625  6075  9375  10125  16875  28125  30375  50625  84375  151875  253125  759375 
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 759375 and 100000 that gives us a GCF value of: 3125

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.

759375/100000

  =  

759375 ÷ 3125/100000 ÷ 3125

  =  

243/32

Good work! We have just walked through the steps on how to represent 7.59375 as a fraction.