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 2

Explanation:

Step1: Recall multiple - concept

If a number $a$ can be written as $a = k\times b$ where $k$ is an integer, then $a$ is a multiple of $b$. Since $4=2\times2$, 4 is a multiple of 2.

Step2: Recall common - denominator concept

A common denominator of two fractions $\frac{m}{n_1}$ and $\frac{p}{n_2}$ is a number that is divisible by both $n_1$ and $n_2$. For $\frac{1}{4}$ and $\frac{1}{2}$, 4 is divisible by 4 and 2, and 2 is divisible by 2. So both 4 and 2 are common denominators.

Answer:

4, 2