Question

nearpod
1
\\(\frac{1}{2}\\)
\\(\frac{1}{3}\\)
\\(\frac{1}{4}\\)
\\(\frac{1}{5}\\)
\\(\frac{1}{6}\\)
\\(\frac{1}{8}\\)
\\(\frac{1}{10}\\)
\\(\frac{1}{12}\\)
(there are colored rectangles with numbers and fractions, and a diagram with red, orange, and blue rectangles representing 1, \\(\frac{1}{3}\\)s, and \\(\frac{1}{8}\\)s respectively.)

Explanation:

Step1: Analyze the orange parts

There are 3 orange rectangles, each representing $\frac{1}{3}$. So the total for orange is $3\times\frac{1}{3}=1$.

Step2: Analyze the blue parts

There are 3 blue rectangles, each representing $\frac{1}{8}$. So the total for blue is $3\times\frac{1}{8}=\frac{3}{8}$.

Step3: Analyze the red part

The red rectangle represents 1. Wait, maybe we need to check the sum? Wait, maybe the question is to find what the total is? Wait, looking at the right side, the red big rectangle, orange (three $\frac{1}{3}$) and blue (three $\frac{1}{8}$). Wait, maybe the question is to see the sum of the orange and blue? Wait, no, maybe the left side is the options. Wait, the left side has 1, $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$, $\frac{1}{5}$, $\frac{1}{6}$, $\frac{1}{8}$, $\frac{1}{10}$, $\frac{1}{12}$. Wait, the right side: orange is three $\frac{1}{3}$, so $3\times\frac{1}{3}=1$. Blue is three $\frac{1}{8}$, so $3\times\frac{1}{8}=\frac{3}{8}$. Wait, maybe the total of the right - hand figure? Wait, the red big rectangle is 1, orange is 1 (since $3\times\frac{1}{3}=1$), blue is $\frac{3}{8}$. Wait, no, maybe the question is to find the value represented by the combination? Wait, maybe the left - hand side is the options to match the right - hand side. Wait, the right - hand side has a red rectangle (value 1), three orange rectangles (each $\frac{1}{3}$, so total 1) and three blue rectangles (each $\frac{1}{8}$, so total $\frac{3}{8}$). Wait, maybe the question is to find the sum of the non - red parts? Wait, no, maybe the left - hand side is the options for what the total is. Wait, the red rectangle is 1, the orange parts sum to 1, and the blue parts sum to $\frac{3}{8}$. Wait, maybe the question is to find the value of the entire figure? Wait, the red is 1, orange is 1, blue is $\frac{3}{8}$? No, that doesn't make sense. Wait, maybe the orange rectangles: each is $\frac{1}{3}$, three of them make 1. The blue rectangles: each is $\frac{1}{8}$, three of them make $\frac{3}{8}$. And the red rectangle is 1. Wait, maybe the question is to find the value of the red rectangle? But the red rectangle is 1, which is one of the left - hand options.

Answer:

1 (the red rectangle with value 1, which is the first option on the left: 1)