Decimal 0.345 as a fraction

In order to find the simplest fraction form of 0.345 first we need to write out decimal number 0.345 as fraction. Any number can be written as a fraction quite simply - just divide it by 1:

Next we need to get rid of the decimal part in our numerator so that the numerator in our fraction becomes a whole number. To do so we need to multiply both numerator and denominator by 1000 (because there are 3 digits after the decimal point in the number 0.345):

Now we need to simplify our fraction to its simplest form. To do so we have to find the Greatest Common Factor (GCF) of 345 and 1000. To find the GCF of 2 numbers you can use our GCF Calculator. GCF of 345 and 1000 is 5. So in order to simplify our fraction we need to divide both numerator and denominator by 5:

That's it! 0.345 as a fraction in it's simplest form is equal to 69/200.