Question

1. compare \\(\frac{1}{2}\\) and \\(\frac{1}{6}\\). first, think about \\(\frac{1}{2}\\).

1. how many sixths are equivalent to \\(\frac{1}{2}\\)? use the models to help you.

\\(\frac{1}{2} = \frac{\square}{6}\\)

Explanation:

Step1: Recall Equivalent Fractions

To find how many sixths are equivalent to $\frac{1}{2}$, we use the concept of equivalent fractions. We need to find a number $x$ such that $\frac{1}{2}=\frac{x}{6}$.

Step2: Solve for x

Cross - multiply: $1\times6 = 2\times x$. Then, $6 = 2x$. Divide both sides by 2: $x=\frac{6}{2}=3$. We can also use the model: the top rectangle is divided into 2 parts, 1 shaded (representing $\frac{1}{2}$), and the bottom is divided into 6 parts. To make them equivalent, we see that half of 6 is 3, so the number of sixths equivalent to $\frac{1}{2}$ is 3.

Answer:

3