What is 1.45728 as a fraction?

Answer: 1.45728 as a fraction equals 145728/100000 or 4554/3125

Here is the solution for converting 1.45728 to a fraction:

Step 1:

First, we write 1.45728 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!

1.45728/1

  =  

1.45728 x 100000/1 x 100000

  =  

145728/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 145728 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 145728 are: 1  2  3  4  6  8  9  11  12  16  18  22  23  24  32  33  36  44  46  48  64  66  69  72  88  92  96  99  132  138  144  176  184  192  198  207  253  264  276  288  352  368  396  414  506  528  552  576  704  736  759  792  828  1012  1056  1104  1472  1518  1584  1656  2024  2112  2208  2277  3036  3168  3312  4048  4416  4554  6072  6336  6624  8096  9108  12144  13248  16192  18216  24288  36432  48576  72864  145728 
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 145728 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.

145728/100000

  =  

145728 ÷ 32/100000 ÷ 32

  =  

4554/3125

Good work! We have just walked through the steps on how to represent 1.45728 as a fraction.