What is 0.70125 as a fraction?

Answer: 0.70125 as a fraction equals 70125/100000 or 561/800

Here is the solution for converting 0.70125 to a fraction:

Step 1:

First, we write 0.70125 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!

0.70125/1

  =  

0.70125 x 100000/1 x 100000

  =  

70125/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 70125 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 70125 are: 1  3  5  11  15  17  25  33  51  55  75  85  125  165  187  255  275  375  425  561  825  935  1275  1375  2125  2805  4125  4675  6375  14025  23375  70125 
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 70125 and 100000 that gives us a GCF value of: 125

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.

70125/100000

  =  

70125 ÷ 125/100000 ÷ 125

  =  

561/800

Good work! We have just walked through the steps on how to represent 0.70125 as a fraction.