What is 1.40832 as a fraction?

Answer: 1.40832 as a fraction equals 140832/100000 or 4401/3125

Here is the solution for converting 1.40832 to a fraction:

Step 1:

First, we write 1.40832 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!

1.40832/1

  =  

1.40832 x 100000/1 x 100000

  =  

140832/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 140832 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 140832 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  72  96  108  144  163  216  288  326  432  489  652  864  978  1304  1467  1956  2608  2934  3912  4401  5216  5868  7824  8802  11736  15648  17604  23472  35208  46944  70416  140832 
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 140832 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.

140832/100000

  =  

140832 ÷ 32/100000 ÷ 32

  =  

4401/3125

Good work! We have just walked through the steps on how to represent 1.40832 as a fraction.