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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It is not 6=1 or 48=1
To find the relationship between the number of students and tables, we can set up a proportion:
$\frac{\text{number of students}}{\text{number of tables}} = \frac{48}{6} = \frac{8}{1}$
This proportion shows that for every 48 students, there are 6 tables. Similarly, for every 8 students, there is 1 table.
So, the relationship between the number of students to tables in fraction form is $\frac{48}{6} = \frac{8}{1}$.
To find the relationship between the number of students and tables in fraction form, we can set up a proportion.
Let "s" represent the number of students and "t" represent the number of tables.
We are given that 8 students can sit around 1 table, so we have the equation:
8 students = 1 table
Similarly, we are given that 48 students can sit around 6 tables, so we have the equation:
48 students = 6 tables
To set up the proportion, we compare the number of students to the number of tables:
\[ \frac{8}{1} = \frac{48}{6} \]
Therefore, the relationship between the number of students and tables in fraction form is:
\[ \frac{8}{1} = \frac{48}{6} \]
To find the relationship between the number of students and tables, we need to create a proportion. Let's use the given information:
In an art classroom, 8 students can sit around 1 table, and 48 students can sit around 6 tables.
The proportion can be set up as follows:
(Number of students) / (Number of tables) = (Number of students) / (Number of tables)
Using the given information:
8 / 1 = 48 / 6
To keep the fraction form without reducing it to the lowest terms, we do not simplify the fractions further:
8/1 = 48/6
Therefore, the relationship between the number of students to tables in fraction form, without reducing it to the lowest terms, is:
8/1 = 48/6