Question

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 other denominator? i can rewrite one fraction so that they have? and then add the fractions.

Explanation:

Step1: Recall fraction - addition rule

When adding fractions, they need a common denominator. If one denominator is a multiple of the other, we rewrite the fraction with the smaller - denominator to have the same denominator as the larger one.

Step2: Analyze the given fractions

We have $\frac{1}{4}$ and $\frac{1}{2}$. Since 4 is a multiple of 2, we rewrite $\frac{1}{2}$ as an equivalent fraction with a denominator of 4. We know that $\frac{1}{2}=\frac{1\times2}{2\times2}=\frac{2}{4}$.

Step3: Answer the key - idea question

The blank should be filled with "a common denominator".

Answer:

a common denominator