Questions: Sarah makes a red hair bow using 21 1/4 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon. How much more ribbon is used to make the red hair bow than the purple hair bow? o 3 3/4 in. o 3 11/20 in. o 3 2/4 in. o 3 1/4 in.

Sarah makes a red hair bow using 21 1/4 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon. How much more ribbon is used to make the red hair bow than the purple hair bow? o 3 3/4 in. o 3 11/20 in. o 3 2/4 in. o 3 1/4 in.
Transcript text: Sarah makes a red hair bow using 21 1/4 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon. How much more ribbon is used to make the red hair bow than the purple hair bow? o 3 3/4 in. o 3 11/20 in. o 3 2/4 in. o 3 1/4 in.
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Solution

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Solution Steps

Step 1: Convert mixed numbers to improper fractions

Convert \( 21 \frac{1}{4} \) inches and \( 18 \frac{1}{4} \) inches to improper fractions: \[ 21 \frac{1}{4} = \frac{85}{4}, \quad 18 \frac{1}{4} = \frac{73}{4}. \]

Step 2: Subtract the ribbon lengths

Subtract the length of the purple hair bow ribbon from the red hair bow ribbon: \[ \frac{85}{4} - \frac{73}{4} = \frac{12}{4}. \]

Step 3: Simplify the result

Simplify \( \frac{12}{4} \) to a mixed number: \[ \frac{12}{4} = 3. \]

Final Answer

\(\boxed{3 \text{ in.}}\)

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