whats the asnwer
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.
The relationship between the number of students to tables can be expressed as a fraction. Let's use "S" to represent the number of students and "T" to represent the number of tables.
From the given information, we know that 8 students can sit around 1 table. So, for 1 table, "S" would be 8.
Similarly, we know that 48 students can sit around 6 tables. So, for 6 tables, "S" would be 48.
Therefore, the proportion in fraction form is:
S/T = 8/1 = 48/6
To find the relationship between the number of students to tables in fraction form, we can use the given information.
In the scenario, 8 students can sit around 1 table. This means that the ratio of students to tables is 8:1.
Similarly, 48 students can sit around 6 tables. This means that the ratio of students to tables is 48:6.
To represent these ratios in fraction form, we can write them as:
8/1 and 48/6.
Therefore, the relationship between the number of students to tables in fraction form is:
8/1 = 48/6
To determine the relationship between the number of students and tables in fraction form, we can set up a proportion.
Let "x" represent the number of students and "y" represent the number of tables.
Based on the given information, 8 students can sit around 1 table, and 48 students can sit around 6 tables.
Therefore, we can set up the 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 cross-multiply the terms:
(8 students) * (6 tables) = (1 table) * (48 students)
48 students = 6 tables
Thus, the relationship between the number of students to tables in fraction form, without reducing it to the lowest terms, is:
48 students : 6 tables.