Each homeroom of a middle school receives 1/12 of a 5/6 acre of land. How many homerooms receive a plot of land?
(5/6) / (1/12)
(5/6) * 12 = 60/6 = 10
To find out how many homerooms receive a plot of land, we need to divide the total area of land by the area received by each homeroom.
The total area of land is given as 5/6 acre.
And each homeroom receives 1/12 of the land.
To divide the total area by the area received by each homeroom, we can divide 5/6 by 1/12:
(5/6) / (1/12)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(5/6) * (12/1)
Multiplying the numerators (5 * 12) and the denominators (6 * 1), we get:
60/6
Simplifying the fraction, we divide the numerator and denominator by their greatest common divisor, which is 6:
60/6 = 10
Therefore, 10 homerooms receive a plot of land.
To find the number of homerooms that receive a plot of land, we need to divide the total area of land by the amount of land allocated to each homeroom.
First, let's calculate the total area of land:
5/6 acre
Now, let's calculate the amount of land allocated to each homeroom:
1/12 of 5/6 acre
To find a fraction of a fraction, you can multiply the two fractions:
(1/12) * (5/6)
To multiply the fractions, simply multiply the numerators together and the denominators together:
(1 * 5) / (12 * 6) = 5/72
So, each homeroom receives 5/72 of an acre.
To find the number of homerooms that can receive a plot of land, we need to divide the total area of land by the amount allocated to each homeroom:
(5/6 acre) / (5/72 acre/homeroom)
To divide fractions, you invert the second fraction (divisor) and multiply:
(5/6 acre) * (72/5 acre/homeroom)
Now, let's cancel out the common factors:
(5 * 72) / (6 * 5) = 360/30 = 12
So, there are 12 homerooms that can receive a plot of land.