Final answer:
After converting Yolanda's original 1 foot of lace to 12 inches, and subtracting the 8 3/4 inches she used (converted to 35/4 inches), it is determined that she has 3 1/4 inches of lace left.
Step-by-step explanation:
Yolanda has a small picture frame and wants to put a gold lace around it. She purchased 1 foot of lace and used 8 3/4 inches on the frame. To calculate how much lace Yolanda has left, we first need to ensure that both measurements are in the same unit. We have the length of lace in feet and the amount used in inches. Since 1 foot is equal to 12 inches, Yolanda originally had 12 inches of lace.
Now, let's subtract the amount of lace she used from the total amount she had:
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- Total lace in inches: 12 inches
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- Amount used: 8 3/4 inches
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- Leftover lace: 12 inches - 8 3/4 inches
To subtract the fractions, we need to convert 8 3/4 to an improper fraction which is 35/4 inches. Now, let's perform the subtraction with the improper fraction:
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- 12 inches = 48/4 inches (to have a common denominator)
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- Leftover lace: 48/4 inches - 35/4 inches = 13/4 inches
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- In simplest terms, 13/4 inches equals 3 1/4 inches
Therefore, Yolanda has 3 1/4 inches of lace left after decorating her picture frame.