students planted 6 equal-size gardens, they divided each garden into 3 equal sections and planted herbs in 2 of the 3 sections, what fraction of the gardens did the students plant with herbs? Shouldn't it be 2/6?
For all the garden subdivisions, 2 of 3 sections were planted. So, 2/3 of the garden space was planted.
There were a lot of words there, obfuscating the simplicity of the problem. Now, if only some of the divided gardens had been planted, that would have changed things.
Answer
12/18
Total sections is 6 by 3 equal 18 and 2/3 from 18 is 12/18
2/6
To find the fraction of gardens that the students planted with herbs, we can approach this problem step by step:
Step 1: Determine the total number of garden sections.
The students divided each garden into 3 sections. Since there are 6 gardens in total, the number of sections would be 6 multiplied by 3, which equals 18 sections.
Step 2: Determine the number of sections planted with herbs.
The students planted herbs in 2 out of the 3 sections for each garden. Since each garden has 3 sections and 2 of them are planted with herbs, the total number of sections planted with herbs would be 6 gardens multiplied by 2 sections, which equals 12 sections.
Step 3: Find the fraction.
To find the fraction, we need to divide the number of sections planted with herbs (12) by the total number of sections (18):
Fraction = Number of sections planted with herbs / Total number of sections
Fraction = 12 sections / 18 sections
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6:
Fraction = (12 ÷ 6) sections / (18 ÷ 6) sections
Fraction = 2 sections / 3 sections
Therefore, the fraction of gardens that the students planted with herbs is 2/3, not 2/6.