Question

think about the relationship between the denominators, 4 and 2. complete the sentence. 4 is a multiple of 2. which number is a common denominator for \\(\frac{1}{4}\\) and \\(\frac{1}{2}\\)? 4 \\(\frac{1}{4} + \frac{1}{2} = \frac{1}{4} + \frac{2}{4} = \frac{3}{4}\\) key idea how can i add fractions when one denominator is a multiple of the the same denominator different denominators that they have the same denominator and then add the fractions. done

Explanation:

Step1: Check if 4 is a multiple of 2

Since $4 = 2 \times 2$, 4 is a multiple of 2. Fill "Yes".

Step2: Find common denominator for $\frac{1}{4}$ and $\frac{1}{2}$

The denominators are 4 and 2. 4 is a multiple of 2, so 4 is a common denominator.

Step3: Key idea for adding fractions

When adding fractions, we need the same denominator to combine them. So select "the same denominator".

Answer:

Yes; 4; the same denominator