Question

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. a number line from 0 to 2 with a rectangle above part of it is shown

Explanation:

Step1: Define total and piece length

Total length: $L = 2$ yards, Piece length: $l = \frac{1}{3}$ yard

Step2: Calculate number of pieces

Number of pieces $n = \frac{L}{l} = \frac{2}{\frac{1}{3}} = 2 \times 3 = 6$

Step3: Verify on number line

Each $\frac{1}{3}$ yard marks a piece; from 0 to 2, there are 6 intervals of $\frac{1}{3}$ yard.

Answer:

6 pieces