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add, \\(\\frac{3}{4} + \\frac{1}{2} = \\square\\) use the model to help…

Question

add,
\\(\frac{3}{4} + \frac{1}{2} = \square\\)
use the model to help you.
\\(\frac{1}{4}\\) \\(\frac{1}{4}\\) \\(\frac{1}{4}\\)
+ \\(\frac{1}{2}\\)
submit

Explanation:

Step1: Convert to common denominator

To add $\frac{3}{4}$ and $\frac{1}{2}$, we first find a common denominator. The common denominator of 4 and 2 is 4. So we convert $\frac{1}{2}$ to fourths: $\frac{1}{2}=\frac{2}{4}$.

Step2: Add the fractions

Now we add $\frac{3}{4}+\frac{2}{4}$. When adding fractions with the same denominator, we add the numerators: $3 + 2 = 5$, so the result is $\frac{5}{4}$ (or $1\frac{1}{4}$). We can also check with the model: the blue parts are 3 fourths, and the purple part is 2 fourths (since $\frac{1}{2}=\frac{2}{4}$), so total is 5 fourths.

Answer:

$\frac{5}{4}$ (or $1\frac{1}{4}$)