Question

The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into six bandanas of the same size.

Answer 1

If the drama teacher is cutting 1/2 yard of fabric into six bandanas of the same size, each bandana would be
`\( (1)/(6) \)` yards long.

Certainly! Let's break down the solution step by step:

The drama teacher has 1/2 yard of fabric, and she wants to cut it into six equal-sized bandanas. To find the length of each bandana, divide the total length of fabric by the number of bandanas:

`\[ \text{Length of each bandana} = \frac{\text{Total length of fabric}}{\text{Number of bandanas}} \]`

Substitute the given values:

`\[ \text{Length of each bandana} = (1/2)/(6) \]`

To divide by a fraction, multiply by its reciprocal:

`\[ \text{Length of each bandana} = (1)/(2) * (1)/(6) \]`

Multiply the numerators and denominators:

`\[ \text{Length of each bandana} = (1 * 1)/(2 * 6) \]`

Simplify the fraction:

`\[ \text{Length of each bandana} = (1)/(12) \]`

Therefore, each bandana is
`\( (1)/(12) \)` yards long.