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? and then add the fractions.

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 $\frac{1}{2}$

Multiples of 4: 4,8,...; multiples of 2:2,4,... Common denominator is 4.

Step3: Identify denominator type in question

The question asks about adding fractions with one denominator a multiple of the other, which are different denominators. Select "different denominators".

Answer:

1. yes
2. 4
3. different denominators