Final answer:
Talia is correct, 1/3 and 2/6 are equivalent fractions. This can be visualized by picturing a pie cut into thirds and then those thirds cut in half, or by multiplying the numerator and denominator of 1/3 by 2.
Step-by-step explanation:
I agree with Talia that 1/3 and 2/6 are equivalent fractions. To understand why we can visualize fractions as parts of a whole. If you think about a whole pie, dividing it into thirds gives you three equal slices.
If one person were to take one slice, they would have 1/3 of the pie. Now, if we cut each slice in half, we would have six smaller, yet still equal slices. Taking two of these smaller slices would give you 2/6 of the pie, which is the same amount as the one larger third slice we started with.
Another way to look at it is through multiplication and division, which are inverse operations. If you multiply the numerator and denominator of 1/3 by 2, you get 2/6. This shows that 1/3 and 2/6 are equivalent because they represent the same portion of a whole when compared visually or arithmetically.