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

Sure! To 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, we need to understand what a ratio and a fraction represent.

A ratio is a way of comparing two or more quantities or values. In this case, the ratio of green-seeded plants to yellow-seeded plants is given as 1:3. This means that for every 1 green-seeded plant, there are 3 yellow-seeded plants.

On the other hand, a fraction represents a part-to-whole relationship. The numerator (top number) of the fraction represents the part of interest, while the denominator (bottom number) represents the whole. In this case, the fraction is given as 1/4, meaning that there is 1 part (green-seeded plants) out of a total of 4 parts (all plants).

To show that the 1:3 ratio is the same as 1/4, let's compare them. We'll first convert the ratio to a fraction.

To convert the ratio to a fraction, we add the two parts of the ratio (1 + 3 = 4) to get the total number of parts. Then, we take the part of interest (green-seeded plants) and write it as the numerator of the fraction. In our case, the green-seeded plants have a value of 1, so our fraction becomes 1/4.

Therefore, the 1:3 ratio of green-seeded plants to yellow-seeded plants is equivalent to the fraction 1/4 of green-seeded plants.

I hope this explains the relationship between the two representations! Let me know if you have any further questions.