Question

choose and collect representations of the model shown.
done
$2 \times \frac{3}{4}$
$2 + \frac{3}{4}$
collect them all
2 groups of $\frac{3}{4}$
$\frac{3}{4} + \frac{3}{4}$

Explanation:

Step1: Analyze the model (fraction addition/ multiplication)

The model shows 2 groups of $\frac{3}{4}$. So, we can represent this as addition: $\frac{3}{4} + \frac{3}{4}$ or as multiplication: $2\times\frac{3}{4}$. The expression $2 + \frac{3}{4}$ does not match the model (it would be 2 and $\frac{3}{4}$, not 2 groups of $\frac{3}{4}$). So the correct representations are $2\times\frac{3}{4}$, "2 groups of $\frac{3}{4}$", and $\frac{3}{4} + \frac{3}{4}$.

Step2: Identify the correct option from the given

From the two options: $2\times\frac{3}{4}$ (matches the multiplication of 2 groups of $\frac{3}{4}$) and $2 + \frac{3}{4}$ (does not match). Also, the other representations like "2 groups of $\frac{3}{4}$" and $\frac{3}{4}+\frac{3}{4}$ are correct as they represent adding two $\frac{3}{4}$s (which is the same as 2 times $\frac{3}{4}$).

Answer:

The correct representations are:

• $2\times\frac{3}{4}$
• "2 groups of $\frac{3}{4}$"
• $\frac{3}{4} + \frac{3}{4}$

(If choosing from the two given boxes: the correct one is $2\times\frac{3}{4}$ (the first box) as it represents 2 groups of $\frac{3}{4}$, while $2+\frac{3}{4}$ is incorrect for the model shown.)