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?

A. B, C, A
B. A, C, B
C. C, B, A
D. B, A, C

Answer 1

To compare the lengths of fabric needed, we need to convert them all into a common format (decimals or improper fractions). Here are the conversions:

1. Fabric A: 3 7/8 yards

   • Convert to decimal: \( 3 + \frac{7}{8} = 3 + 0.875 = 3.875 \) yards

2. Fabric B: 3 1/5 yards

   • Convert to decimal: \( 3 + \frac{1}{5} = 3 + 0.2 = 3.2 \) yards

3. Fabric C: 9/3 yards

   • Convert to decimal: \( \frac{9}{3} = 3.0 \) yards

Now we have:

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

Next, we list the fabrics in order from least to greatest:

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

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

The correct answer is C. C, B, A.