What is 1.42464 as a fraction?

Answer: 1.42464 as a fraction equals 142464/100000 or 4452/3125

Here is the solution for converting 1.42464 to a fraction:

Step 1:

First, we write 1.42464 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!

1.42464/1

  =  

1.42464 x 100000/1 x 100000

  =  

142464/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 142464 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 142464 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  53  56  64  84  96  106  112  128  159  168  192  212  224  318  336  371  384  424  448  636  672  742  848  896  1113  1272  1344  1484  1696  2226  2544  2688  2968  3392  4452  5088  5936  6784  8904  10176  11872  17808  20352  23744  35616  47488  71232  142464 
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 142464 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.

142464/100000

  =  

142464 ÷ 32/100000 ÷ 32

  =  

4452/3125

Good work! We have just walked through the steps on how to represent 1.42464 as a fraction.