What is 5.77344 as a fraction?

Answer: 5.77344 as a fraction equals 577344/100000 or 18042/3125

Here is the solution for converting 5.77344 to a fraction:

Step 1:

First, we write 5.77344 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!

5.77344/1

  =  

5.77344 x 100000/1 x 100000

  =  

577344/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 577344 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 577344 are: 1  2  3  4  6  8  12  16  24  31  32  48  62  64  93  96  97  124  186  192  194  248  291  372  388  496  582  744  776  992  1164  1488  1552  1984  2328  2976  3007  3104  4656  5952  6014  6208  9021  9312  12028  18042  18624  24056  36084  48112  72168  96224  144336  192448  288672  577344 
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 577344 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.

577344/100000

  =  

577344 ÷ 32/100000 ÷ 32

  =  

18042/3125

Good work! We have just walked through the steps on how to represent 5.77344 as a fraction.