Can we express 24/35 into any 2 real factors except 1.0 and 0.6857142857142857 that has less than 4 decimal spaces (no round-off allowed)

Question

Question says it all. I need to convert 24/35 (or 0.6857142857142857) into 2 factors of that don't have so many decimal places (real number with lesser decimal places) and no rounding-off is allowed. It is required for a physics experiment. Any help is appreciated.

I tried a few like:

 0.5x = 0.6857142857142857 

So,

x = 0.6857142857142857/0.5 

but the result

 (1.371428571428571) 

still has 15 decimal places (same amount of decimal places as the original number)

Edit:

I'm sorry. I didn't know that it is a non-terminating decimal expansion. However, considering 0.6857142857142857 as the number to be factorized, is it possible to find 2 numbers that can be multiplied to get this number?

I thought its a terminating expansion because I was getting incorrect results for the experiment when I input 0.685714286 instead of 0.6857142857142857

Edit 2:

Link to the experiment: http://vlabs.iitb.ac.in/bootcamp/labs/ic/exp9/exp/simulation.php

(there are 2 embedded simulations on this page, my experiment is the first one)

Here, RaC = 24/35 and Rb = 10Ra and Ra >= 10 and V can be anything, doesn't matter

So, I took these values:

 Ra = 68.57142857142857 
 Rb = 685.7142857142857 
 C = 0.01

and I got the correct output (i.e. Fout = 0.1 exactly)

If I reduce it to the values:

 Ra = 68.57142857 
 Rb = 685.7142857 
 C = 0.01

then it is approximately equal to 0.1 but not exactly (as you can see in the experiment)

Is it possible to get 0.1 as Fout with a lesser decimal places?

Answer 1

If you write $\frac{24}{35}$ as the product of two fractions with smaller denominators, one will have denominator $5$ and the other denominator $7$. Since $\frac17$ is a repeating decimal with period $6$, you cannot get down to $4$ decimal places.

I don't really understand what you mean by "no roundoff allowed", though. $\frac{24}{35}$ has a repeating decimal representation, so you've already rounded it off.