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Answer :
To find out how many bows Piper can make, we should divide the total length of ribbon by the length used for one bow. Here is a step-by-step solution:
1. Understand the Problem: We have 13 yards of ribbon in total. Each bow requires [tex]\(\frac{13}{16}\)[/tex] yard of ribbon.
2. Set Up the Division: To determine how many bows can be made from the available ribbon, divide the total ribbon length by the length required for one bow.
[tex]\[
\text{Number of bows} = \frac{\text{Total ribbon}}{\text{Ribbon per bow}} = \frac{13}{\frac{13}{16}}
\][/tex]
3. Perform the Division: When you divide by a fraction, it's the same as multiplying by the reciprocal of that fraction. So:
[tex]\[
\frac{13}{\frac{13}{16}} = 13 \times \frac{16}{13}
\][/tex]
4. Compute the Result: Multiplying these gives:
[tex]\[
13 \times \frac{16}{13} = 16
\][/tex]
Therefore, Piper can make 16 bows with the ribbon she has.
1. Understand the Problem: We have 13 yards of ribbon in total. Each bow requires [tex]\(\frac{13}{16}\)[/tex] yard of ribbon.
2. Set Up the Division: To determine how many bows can be made from the available ribbon, divide the total ribbon length by the length required for one bow.
[tex]\[
\text{Number of bows} = \frac{\text{Total ribbon}}{\text{Ribbon per bow}} = \frac{13}{\frac{13}{16}}
\][/tex]
3. Perform the Division: When you divide by a fraction, it's the same as multiplying by the reciprocal of that fraction. So:
[tex]\[
\frac{13}{\frac{13}{16}} = 13 \times \frac{16}{13}
\][/tex]
4. Compute the Result: Multiplying these gives:
[tex]\[
13 \times \frac{16}{13} = 16
\][/tex]
Therefore, Piper can make 16 bows with the ribbon she has.
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