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

A, C, B
A, C, B

B, A, C
B, A, C

B, C, A
B, C, A

C, B, A

3 answers

To determine the order of the yards needed for each fabric from least to greatest, we first need to convert the fabric yard measurements to improper fractions or decimals for easy comparison.

  1. Fabric A: 3 7/8 yards

    • Convert to an improper fraction: \( 3 \times 8 + 7 = 24 + 7 = 31/8 \)
    • In decimal: \( 3.875 \) yards
  2. Fabric B: 3 1/5 yards

    • Convert to an improper fraction: \( 3 \times 5 + 1 = 15 + 1 = 16/5 \)
    • In decimal: \( 3.2 \) yards
  3. Fabric C: 9/3 yards

    • Simplify the fraction: \( 9/3 = 3 \) yards

Now we list the yards needed in decimal form:

  • Fabric A: \( 3.875 \) yards
  • Fabric B: \( 3.2 \) yards
  • Fabric C: \( 3.0 \) yards

Now we can order them from least to greatest:

  1. Fabric C: \( 3.0 \)
  2. Fabric B: \( 3.2 \)
  3. Fabric A: \( 3.875 \)

Thus, the order from least to greatest is:

C, B, A

So the correct response is:

C, B, A

a b c or d

The order of the fabrics in terms of the yards needed from least to greatest is:

C, B, A

If we match this with your options:

  • A, C, B
  • B, A, C
  • B, C, A
  • C, B, A (This is the correct order)

So the answer that corresponds to your choices is D: C, B, A.

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