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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
To find the relationship between the number of students and tables, we can set up a proportion.
Let x be the number of students and y be the number of tables.
We know that 8 students can sit around 1 table, so we have the proportion:
8 students / 1 table = x students / y tables
Similarly, we know that 48 students can sit around 6 tables, so we have the proportion:
48 students / 6 tables = x students / y tables
Now, we can set up the equation:
8/1 = x/y
48/6 = x/y
To find the relationship between the number of students and tables in fraction form, we can combine the two equations:
8/1 = 48/6
Multiplying both sides of the equation by 6, we get:
8 * 6 = 48 * 1
48 = 48
Therefore, the relationship between the number of students and tables is 8/1 = 48/6.
None of that is right now what is it relly
1 of 51 of 5 Items
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.
$$
Skip to navigation
page 14 of 15
To find the relationship between the number of students and tables, we can set up a proportion.
Let x be the number of students and y be the number of tables.
We know that 8 students can sit around 1 table, so we have the proportion:
8 students / 1 table = x students / y tables
Similarly, we know that 48 students can sit around 6 tables, so we have the proportion:
48 students / 6 tables = x students / y tables
To write the proportion in fraction form without reducing it to lowest terms, we can express it as:
(8/1) / (48/6) = (x/y)
Multiplying both sides of the equation by (1/6), we get:
(8/1) * (6/48) = (x/y) * (1/6)
Simplifying, we have:
48/48 = (x/y) / 6
1 = (x/y) / 6
Therefore, the relationship between the number of students and tables is 1 = (x/y) / 6, which can also be written as x/y = 6/1.
But i cqn not put the Slash in it sorry bot 🤖
No problem! To write the proportion without using the slash symbol, we can use a colon ":" instead.
The proportion x/y = 6/1 can be written as x:y = 6:1.