Anna planted peas in 3/8 of her garden and herbs in 1/8 of it. She divides the rest of the garden into 6 sections. What fraction of the original garden is each section?
1/20000000
To find the fraction of the original garden that each section represents, we need to determine the fraction of the garden not occupied by peas or herbs.
Anna planted peas in 3/8 of the garden and herbs in 1/8 of it. The combined fraction of peas and herbs is 3/8 + 1/8 = 4/8.
To find the fraction that is not occupied by peas or herbs, we subtract the combined fraction from 1. So, 1 - 4/8 = 8/8 - 4/8 = 4/8 = 1/2.
Now, we know that the remaining fraction of the garden is 1/2. And Anna divides this remaining fraction into 6 sections.
To find the fraction of the original garden that each section represents, we divide the remaining fraction by the number of sections. So, 1/2 divided by 6 is (1/2) / 6 = 1/2 * 1/6 = 1/12.
Therefore, each section represents 1/12 of the original garden.