A pattern calls for three different fabrics.

Question

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

C, B, A
C, B, A

A, C, B
A, C, B

B, A, C
B, A, C

B, C, A

Answer 1

To determine the order of the fabrics needed from least to greatest yardage, let's convert all the measurements into improper fractions or decimal form.

1. Fabric A: 3 7/8 yards

   • Convert to an improper fraction: \[ 3 \times 8 + 7 = 24 + 7 = 31/8 \text{ yards} \]
   • Decimal form: \[ 3 + 7/8 = 3 + 0.875 = 3.875 \text{ yards} \]

2. Fabric B: 3 1/5 yards

   • Convert to an improper fraction: \[ 3 \times 5 + 1 = 15 + 1 = 16/5 \text{ yards} \]
   • Decimal form: \[ 3 + 1/5 = 3 + 0.2 = 3.2 \text{ yards} \]

3. Fabric C: 9/3 yards

   • Simplify: \[ 9/3 = 3 \text{ yards} \]

Now, we summarize the amounts needed for each fabric in decimal form:

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

Now, putting them in order from least to greatest:

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

Thus, the order is:

C, B, A

So the correct response is:

C, B, A