Thy answer shall be:
A. 1/2 = 5/10
Thy answer tis A for:
In this problem, we have two fraction models. The top fraction model is split up into 10 parts. The bottom fraction model is split up into 2 parts. In order to find the fractions for both models, we simply have to count the number of shaded parts, which will be our numerator, and put that over the total number of parts in the fraction model, which will be our denominator.
The reason that the denominator is the total number of parts in the fraction model is because the denominator is made to represent the total number of parts in/of something. In this case, that would be the total number of parts in a fraction model. The reason that the numerator is the total number of shaded parts in the fraction model is because the numerator represents the parts of the whole that are being counted, or that are currently there. The shaded parts count as said parts that are currently present; therefore, the shaded parts should be the numerator.
In the top fraction model, 5 out of the 10 total parts are shaded blue. This means that, for the first fraction model, 5 is our numerator and 10 is our denominator. Putting these together will create the fraction 5/10.
In the bottom fraction model, 1 out of the 2 total parts are shaded blue. This means that, for the second fraction model, 1 is our numerator and 2 is our denominator. Putting these together will create the fraction 1/2.
Now, we have our two fractions: 5/10 and 1/2. These fractions are equivalent fractions. We know this because, when we look at the two fraction models above and below one another, they are both the same length and appear to have the same amount of blue shaded in as the other. Additionally, if one simplifies 5/10 by dividing both the numerator and denominator by 5, they shall get 1/2, which is the second fraction (also 1/2). With this being said, A. 1/2 = 5/10 perfectly describes what we need to explain the relationship between these two fractions/fraction models.
Therefore, the equation that the models show is <em>A. 1/2 = 5/10</em>.
