Short Answer
Martina starts with a 4-meter fabric and cuts the first piece to be ( frac{5}{4} ) meters (or 1.25 meters). The remaining length of the fabric, which is the second piece, is calculated to be 2.75 meters after subtracting the first piece from the total length.
Step 1: Visual Representation of Fabric
Martina begins with a piece of fabric that is 4 meters long. She cuts this fabric into two parts, where the first piece measures (frac{5}{4}) meters. We can visualize this by noting that the entire length is divided into two segments: the first part and the remaining piece.
Step 2: Convert the First Piece to Decimal
To find the length of the first piece in decimal form, we convert the fraction (frac{5}{4}) by performing the division: 5 ‚àö‚àë 4. This results in 1.25 meters for the first piece. Thus, we have clearly defined one segment of fabric.
Step 3: Calculate the Second Piece’s Length
Next, we need to determine the length of the second piece. To do this, we subtract the length of the first piece from the total length of the fabric. The calculation is as follows: 4 meters – 1.25 meters = 2.75 meters. Consequently, the second piece measures 2.75 meters long.