What is 1.47936 as a fraction?

Answer: 1.47936 as a fraction equals 147936/100000 or 4623/3125

Here is the solution for converting 1.47936 to a fraction:

Step 1:

First, we write 1.47936 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!

1.47936/1

  =  

1.47936 x 100000/1 x 100000

  =  

147936/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 147936 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 147936 are: 1  2  3  4  6  8  12  16  23  24  32  46  48  67  69  92  96  134  138  184  201  268  276  368  402  536  552  736  804  1072  1104  1541  1608  2144  2208  3082  3216  4623  6164  6432  9246  12328  18492  24656  36984  49312  73968  147936 
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 147936 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.

147936/100000

  =  

147936 ÷ 32/100000 ÷ 32

  =  

4623/3125

Good work! We have just walked through the steps on how to represent 1.47936 as a fraction.