kaitlyn is building a model railroad. she has pieces of track that are each \\(\\frac{1}{3}\\) yard long…
kaitlyn is building a model railroad. she has pieces of track that are each \\(\\frac{1}{3}\\) yard long. she wants to know how many pieces she will need to build a track that is 2 yards long. show how many pieces kaitlyn needs to make the track.
Answer
Explanation:
Step1: Identify the operation
To find the number of pieces, we divide the total length (2 yards) by the length of each piece ($\frac{1}{3}$ yard). The formula is $n=\frac{\text{Total Length}}{\text{Length per Piece}}$.
Step2: Perform the division
Substitute the values: $n = \frac{2}{\frac{1}{3}}$. Dividing by a fraction is multiplying by its reciprocal, so $n=2\times3 = 6$.
Step3: Verify with the number line
The number line from 0 to 2 has marks at $\frac{1}{3}$ intervals. From 0 to 1, there are 3 marks (for 3 pieces of $\frac{1}{3}$ yard each), and from 1 to 2, another 3 marks. So total pieces: $3 + 3=6$.
Answer:
6