Question

add.
\\(\frac{2}{4} + \frac{2}{8} = \square\\)
use the model to help you.
\\(+\\) \\(\

$$\begin{array}{|c|c|}\\hline \\frac{1}{4} & \\frac{1}{4} \\\\\\hline\\end{array}$$

\\) \\(\

$$\begin{array}{|c|c|}\\hline \\frac{1}{8} & \\frac{1}{8} \\\\\\hline\\end{array}$$

\\)

Explanation:

Step1: Convert to common denominator

To add $\frac{2}{4}$ and $\frac{2}{8}$, first find a common denominator. The least common denominator of 4 and 8 is 8. Convert $\frac{2}{4}$: $\frac{2\times2}{4\times2}=\frac{4}{8}$.

Step2: Add the fractions

Now add $\frac{4}{8}+\frac{2}{8}$. Since the denominators are the same, add the numerators: $\frac{4 + 2}{8}=\frac{6}{8}$. Simplify (optional, but $\frac{6}{8}=\frac{3}{4}$). Using the model: $\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{4}{8}$, and $\frac{1}{8}+\frac{1}{8}=\frac{2}{8}$. Then $\frac{4}{8}+\frac{2}{8}=\frac{6}{8}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$ (or $\frac{6}{8}$)