What is 0.74784 as a fraction?

Answer: 0.74784 as a fraction equals 74784/100000 or 2337/3125

Here is the solution for converting 0.74784 to a fraction:

Step 1:

First, we write 0.74784 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!

0.74784/1

  =  

0.74784 x 100000/1 x 100000

  =  

74784/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 74784 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 74784 are: 1  2  3  4  6  8  12  16  19  24  32  38  41  48  57  76  82  96  114  123  152  164  228  246  304  328  456  492  608  656  779  912  984  1312  1558  1824  1968  2337  3116  3936  4674  6232  9348  12464  18696  24928  37392  74784 
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 74784 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.

74784/100000

  =  

74784 ÷ 32/100000 ÷ 32

  =  

2337/3125

Good work! We have just walked through the steps on how to represent 0.74784 as a fraction.