3. Danielle said she read $\frac{1}{2}$ of a book. Select all the fractions that are equivalent to $\frac{1}{2}$.
$\frac{3}{6}$
$\frac{5}{10}$
$\frac{6}{12}$
$\frac{3}{5}$
$\frac{6}{8}$
Final Answer: The fractions equivalent to \(\frac{1}{2}\) are \(\boxed{\frac{3}{6}}\), \(\boxed{\frac{5}{10}}\), and \(\boxed{\frac{6}{12}}\).
Step 1 :Danielle said she read \(\frac{1}{2}\) of a book. We are asked to select all the fractions that are equivalent to \(\frac{1}{2}\).
Step 2 :Two fractions are equivalent if they have the same value when simplified. So, we need to simplify each of the given fractions and check if they are equal to \(\frac{1}{2}\).
Step 3 :The given fractions are \(\frac{3}{6}\), \(\frac{5}{10}\), \(\frac{6}{12}\), \(\frac{3}{5}\), and \(\frac{6}{8}\).
Step 4 :After simplifying, we find that the fractions equivalent to \(\frac{1}{2}\) are \(\frac{3}{6}\), \(\frac{5}{10}\), and \(\frac{6}{12}\).
Step 5 :Final Answer: The fractions equivalent to \(\frac{1}{2}\) are \(\boxed{\frac{3}{6}}\), \(\boxed{\frac{5}{10}}\), and \(\boxed{\frac{6}{12}}\).