Well first since its .344 this would be in the thousandths place so to start it would be 344/1000. Divide both the numerator and denominator by 2 which would be 172/500. Divide both by 2 once again 86/250. Divide by 2 once again, now its 43/125. Now since 43 is a prime number, it cannot be reduced anymore.
.344 as a fraction in lowest terms is 43/125