Question

find how many halves are equivalent to \\(\frac{3}{6}\\).
what number can 6 be divided by to make 2?
\\(\frac{3}{6} = \frac{3 \div ?}{6 \div ?} = \frac{?}{2}\\)

Explanation:

Step1: Simplify the fraction

We know that to find the number we divide numerator and denominator by, we can look at the denominator change. The original denominator is 6, and the new denominator is 2. So we find what 6 is divided by to get 2. Let's call that number \( x \), so \( 6 \div x = 2 \), which means \( x = 6\div2 = 3 \).

Step2: Apply to numerator

Now we divide the numerator 3 by the same number 3. So \( 3\div3 = 1 \). So the fraction \( \frac{3}{6}=\frac{3\div3}{6\div3}=\frac{1}{2} \). So the number of halves equivalent to \( \frac{3}{6} \) is 1. Also, for the second question, 6 divided by 3 is 2.

Answer:

For the first part (number of halves equivalent to \( \frac{3}{6} \)): 1. For the second part (number 6 is divided by to make 2): 3. And for the fraction simplification, the blanks are 3 (both) and 1 (numerator result), so the filled fraction is \( \frac{3\div3}{6\div3}=\frac{1}{2} \), so the '?'s are 3, 3, and 1.