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Question
In an art classroom, 8 students can sit around 1 table, and 48 students can sit around 6 tables. What is the relationship between the number of students to tables in fraction form? Write the proportion in fraction form without reducing it to the lowest terms.
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page 14 of 15
It is not 6=1 or 48=1
Wrong
I apologize for the incorrect response. Let's try again.
The given information states that 8 students can sit around 1 table and 48 students can sit around 6 tables. To express this relationship as a proportion, we can set up the following ratio:
$\frac{8}{1} = \frac{48}{6}$
This can be simplified as:
$\frac{8}{1} = \frac{8 \cdot 6}{1 \cdot 6} = \frac{48}{6}$
So the relationship between the number of students to tables in fraction form is $\frac{8}{1} = \frac{48}{6}$.
wrong
Question
In an art classroom, 8 students can sit around 1 table, and 48 students can sit around 6 tables. What is the relationship between the number of students to tables in fraction form? Write the proportion in fraction form without reducing it to the lowest terms.
$$
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page 14 of 15
It is not 6=1 or 48=1
so what is the answer
To find the relationship between the number of students and tables in fraction form, we need to compare the number of students to the number of tables.
We know that 8 students can sit around 1 table and 48 students can sit around 6 tables.
To write this as a proportion in fraction form, we can set up the following equation:
$\frac{8\text{ students}}{1\text{ table}}=\frac{48\text{ students}}{6\text{ tables}}$
Now, we can simplify the equation by cross-multiplying:
$8\text{ students}\times 6\text{ tables}=48\text{ students}\times 1\text{ table}$
$48\text{ students}\times 1\text{ table}=48\text{ students}$
$8\text{ students}\times 6\text{ tables}=48\text{ students}$
Therefore, the proportion in fraction form without reducing it to the lowest terms is:
$\frac{8\text{ students}}{6\text{ tables}}$
The relationship between the number of students and tables can be expressed as a proportion:
8 students = 1 table
48 students = 6 tables
To write this proportion in fraction form without reducing it to the lowest terms, we can set up the ratios:
$\frac{8}{1} = \frac{48}{6}$
So the relationship between the number of students to tables in fraction form is $\frac{8}{1} = \frac{48}{6}$.