What is 0.70224 as a fraction?

Answer: 0.70224 as a fraction equals 70224/100000 or 4389/6250

Here is the solution for converting 0.70224 to a fraction:

Step 1:

First, we write 0.70224 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!

0.70224/1

  =  

0.70224 x 100000/1 x 100000

  =  

70224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 70224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 70224 are: 1  2  3  4  6  7  8  11  12  14  16  19  21  22  24  28  33  38  42  44  48  56  57  66  76  77  84  88  112  114  132  133  152  154  168  176  209  228  231  264  266  304  308  336  399  418  456  462  528  532  616  627  798  836  912  924  1064  1232  1254  1463  1596  1672  1848  2128  2508  2926  3192  3344  3696  4389  5016  5852  6384  8778  10032  11704  17556  23408  35112  70224 
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 70224 and 100000 that gives us a GCF value of: 16

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.

70224/100000

  =  

70224 ÷ 16/100000 ÷ 16

  =  

4389/6250

Good work! We have just walked through the steps on how to represent 0.70224 as a fraction.