A pattern calls for three different fabrics.

Fabric A: 3 78
yards

Fabric B: 3 15
yards

Fabric C: 93
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

B, A, C
B, A, C

A, C, B
A, C, B

B, C, A

1 answer

To determine the order of fabrics needed from least to greatest, let's convert the mixed numbers and whole numbers into improper fractions or decimal form to make comparisons easier.

  1. Fabric A: 3 7/8 yards = \(3 + \frac{7}{8} = \frac{24}{8} + \frac{7}{8} = \frac{31}{8} = 3.875\) yards
  2. Fabric B: 3 1/5 yards = \(3 + \frac{1}{5} = \frac{15}{5} + \frac{1}{5} = \frac{16}{5} = 3.2\) yards
  3. Fabric C: 93 yards = 93 yards (already a whole number)

Now, let's list the values:

  • Fabric A: 3.875 yards
  • Fabric B: 3.2 yards
  • Fabric C: 93 yards

Now, we'll order them from least to greatest:

  • Fabric B: 3.2 yards
  • Fabric A: 3.875 yards
  • Fabric C: 93 yards

So the correct order is:

B, A, C

Thus, the answer is: B, A, C

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