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

a. B, A, C

b. A, C, B

c. B, C, A

d. C, B, A

Answer 1

are you sure

Answer 2

To compare the lengths of fabric needed, we can convert all measurements into fractions or decimals to make them easier to compare.

1. Fabric A: 3 7/8 yards is equal to \( 3 + \frac{7}{8} = \frac{24}{8} + \frac{7}{8} = \frac{31}{8} \) yards or approximately 3.875 yards.

2. Fabric B: 3 1/5 yards is equal to \( 3 + \frac{1}{5} = \frac{15}{5} + \frac{1}{5} = \frac{16}{5} \) yards or approximately 3.2 yards.

3. Fabric C: 9/3 yards is equal to 3 yards.

Now let's compare the decimal equivalents:

- Fabric A: 3.875 yards
- Fabric B: 3.2 yards
- Fabric C: 3 yards

Now, ordering these from least to greatest:

1. Fabric C: 3 yards
2. Fabric B: 3.2 yards
3. Fabric A: 3.875 yards

So, the order of the fabrics from least to greatest is C, B, A.

The correct response is:

**d. C, B, A**

Answer 3

Let's double-check the calculations and the order of the fabrics.

1. **Fabric A:** \(3 \frac{7}{8}\) yards
- Convert to an improper fraction:
\[
3 \frac{7}{8} = \frac{24}{8} + \frac{7}{8} = \frac{31}{8} \text{ yards} \approx 3.875 \text{ yards}
\]

2. **Fabric B:** \(3 \frac{1}{5}\) yards
- Convert to an improper fraction:
\[
3 \frac{1}{5} = \frac{15}{5} + \frac{1}{5} = \frac{16}{5} \text{ yards} = 3.2 \text{ yards}
\]

3. **Fabric C:** \(\frac{9}{3}\) yards
- Simplify:
\[
\frac{9}{3} = 3 \text{ yards}
\]

Now we have the following lengths:
- **Fabric A:** 3.875 yards
- **Fabric B:** 3.2 yards
- **Fabric C:** 3 yards

Now, let's order these from least to greatest:
1. **Fabric C:** 3 yards
2. **Fabric B:** 3.2 yards
3. **Fabric A:** 3.875 yards

So, the correct order from least to greatest is indeed **C, B, A**.

Thus, the correct response remains: **d. C, B, A**. Thank you for your patience!