What is 3.42912 as a fraction?

Answer: 3.42912 as a fraction equals 342912/100000 or 10716/3125

Here is the solution for converting 3.42912 to a fraction:

Step 1:

First, we write 3.42912 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!

3.42912/1

  =  

3.42912 x 100000/1 x 100000

  =  

342912/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 342912 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 342912 are: 1  2  3  4  6  8  12  16  19  24  32  38  47  48  57  64  76  94  96  114  128  141  152  188  192  228  282  304  376  384  456  564  608  752  893  912  1128  1216  1504  1786  1824  2256  2432  2679  3008  3572  3648  4512  5358  6016  7144  7296  9024  10716  14288  18048  21432  28576  42864  57152  85728  114304  171456  342912 
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 342912 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.

342912/100000

  =  

342912 ÷ 32/100000 ÷ 32

  =  

10716/3125

Good work! We have just walked through the steps on how to represent 3.42912 as a fraction.