Explain why a 1:3 ratio of green-seeded plants to yellow-seeded plants is the same as a fraction of 1/4 green seeded plants
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the ratio is 1:3 which equals a total of 4 parts. 1 part is green seeded plants. This means that 1/4 of all the seeds are green seeded.
To understand why a 1:3 ratio of green-seeded plants to yellow-seeded plants is the same as a fraction of 1/4 green-seeded plants, we first need to examine what the ratio represents.
In the given ratio, 1:3, the first number (1) represents the number of green-seeded plants, and the second number (3) represents the number of yellow-seeded plants. This means that for every one green-seeded plant, there are three yellow-seeded plants.
Now, let's convert this ratio into a fraction. To do this, we take the first number (1) as the numerator and the sum of both numbers (1 + 3 = 4) as the denominator. Therefore, the fraction representing the ratio 1:3 is 1/4.
This means that out of the total number of plants, one-fourth (1/4) of them will be green-seeded plants.
So, a 1:3 ratio of green-seeded plants to yellow-seeded plants is the same as a fraction of 1/4 green-seeded plants because both represent the same relationship between the number of green-seeded plants and the total number of plants.
To understand why a 1:3 ratio of green-seeded plants to yellow-seeded plants is the same as a fraction of 1/4 green-seeded plants, let's break it down step-by-step.
First, let's consider the ratio 1:3. This ratio implies that for every 1 green-seeded plant, there are 3 yellow-seeded plants. In other words, the number of green-seeded plants is 1/4th the number of yellow-seeded plants.
To convert this ratio into a fraction, we need to add the two parts of the ratio together. So, 1 + 3 equals 4. The denominator of the fraction will be this sum.
Next, we look at the part of the ratio that represents green-seeded plants, which is 1. This will be the numerator of our fraction.
Putting it all together, the fraction representing a 1:3 ratio of green-seeded plants to yellow-seeded plants is 1/4. This means that 1/4th of the total number of plants are green-seeded, and the remaining 3/4th are yellow-seeded.
In summary, the 1:3 ratio and the fraction 1/4 both describe the same proportion, where one part is green-seeded plants and the other part is yellow-seeded plants.