Question

how can i add \\(\frac{1}{4}\\) and \\(\frac{1}{2}\\)? think about the relationship between the denominators, 4 and 2. complete the sentence. 4 \\(\boxed{\text{is}}\\) a multiple of 2. which number is a common denominator for \\(\frac{1}{4}\\) and \\(\frac{1}{2}\\)? \\(\boxed{4}\\) \\(\boxed{2}\\)

Explanation:

Step1: Fill the blank

Since $4 = 2×2$, 4 is a multiple of 2. So the blank is "yes".

Step2: Find common denominator

A common denominator is a number both denominators divide into. 4 is divisible by 4 and 2, so it's a common denominator.

Step3: Add the fractions

Rewrite $\frac{1}{2}$ as $\frac{2}{4}$. Then $\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$.

Answer:

First blank: yes
Common denominator: 4
Sum: $\frac{3}{4}$