Find one third of 5.4, expressed as a simplified fraction.
First, we take $5.4 \div 3 = 1.8$.  Then, we convert 1.8 to a fraction.  Since $1.8 = \frac{18}{10}$, we can simplify this fraction to yield $\boxed{\frac{9}{5}}$.
\frac{9}{5}
Level 3
Prealgebra
Problem: Find one third of 5.4, expressed as a simplified fraction.
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find one third of 5.4, first convert 5.4 into a fraction. The decimal 5.4 can be expressed as 54/10. Next, simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 27/5. 

Now, to find one third of 27/5, multiply the fraction by 1/3. This involves multiplying the numerators and the denominators: (27 * 1) / (5 * 3) = 27/15. 

Next, simplify 27/15 by finding the greatest common divisor of 27 and 15, which is 3. Dividing both the numerator and the denominator by 3 results in 9/5. 

Thus, the final answer is 9/5.<|END_OF_LATENT|> The final answer is $\frac{9}{5}$.