What is 1.45536 as a fraction?

Answer: 1.45536 as a fraction equals 145536/100000 or 4548/3125

Here is the solution for converting 1.45536 to a fraction:

Step 1:

First, we write 1.45536 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!

1.45536/1

  =  

1.45536 x 100000/1 x 100000

  =  

145536/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 145536 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 145536 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  128  192  379  384  758  1137  1516  2274  3032  4548  6064  9096  12128  18192  24256  36384  48512  72768  145536 
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 145536 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.

145536/100000

  =  

145536 ÷ 32/100000 ÷ 32

  =  

4548/3125

Good work! We have just walked through the steps on how to represent 1.45536 as a fraction.