Question
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
C, B, A
C, B, A
A, C, B
A, C, B
B, A, C
B, A, C
B, C, A
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
Answers
GPT-4o mini
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**
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**