Martina tiene un pedazo de tela de 4 m de …

Mathematics Questions

Martina tiene un pedazo de tela de 4 m de largo y lo corta en dos piezas. El primer pedazo mide (frac{5}{4}) m. a) Grafica el pedazo de tela de 4 m y representa el pedazo de (frac{5}{4}) m. b) Expresa la medida de cada pedazo como n‚àö‚à´mero decimal: – El primer pedazo mide ____ m. – El segundo pedazo mide ____ m.

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-by-Step Solution

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.

Related Concepts

Fabric Length

The total measurement of the fabric, in this case, initially given as 4 meters, which is divided into segments.

Fraction

A mathematical expression representing the division of one quantity by another, such as (frac{5}{4}), which indicates how many parts of a whole are being considered.

Decimal Conversion

The process of translating a fraction into its decimal equivalent, such as converting (frac{5}{4}) into 1.25 by dividing 5 by 4.

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