A pattern calls for three different fabrics.

Fabric A: 3 7/8 yards
Fabric B: 3 1/5 yards
Fabric C: 9/3 yards
Brit would like to know the order of the yards needed for each fabric from least to greatest to plan his budget for completing this pattern. Which list shows the fabrics in order from least number of yards to most? (1 point) Responses B, A, C B, A, C C, B, A C, B, A A, C, B A, C, B B, C, A

1 answer

To determine the order of the fabrics from least to greatest amount of yards needed, we first need to convert the measurements into a consistent format:

  1. Fabric A: 3 7/8 yards

    • Convert to an improper fraction: \(3 \times 8 + 7 = 24 + 7 = 31/8\) yards.
  2. Fabric B: 3 1/5 yards

    • Convert to an improper fraction: \(3 \times 5 + 1 = 15 + 1 = 16/5\) yards.
  3. Fabric C: 9/3 yards

    • This simplifies to 3 yards.

Now, let's compare the values:

  • Fabric A: \(31/8 \approx 3.875\) yards
  • Fabric B: \(16/5 = 3.2\) yards
  • Fabric C: 3 yards

Now we can compare the decimals:

  • Fabric C: 3.0 yards
  • Fabric B: 3.2 yards
  • Fabric A: 3.875 yards

From least to greatest:

  • Fabric C (3 yards)
  • Fabric B (3.2 yards)
  • Fabric A (3.875 yards)

Thus, the correct order is C, B, A.

So the answer is C, B, A.

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