Question
Alex is making scrapbooks for friends. He wants to decorate each scrapbook with 1/6 yard of ribbon. He has a spool with 5/6 yard or ribbon left on it. He plans to use all of the ribbon on the spool. How many scrapbooks can Alex decorare?
Answers
GPT-4o mini
To determine how many scrapbooks Alex can decorate with the ribbon he has, we can divide the total amount of ribbon available by the amount needed for each scrapbook.
Alex has \( \frac{5}{6} \) yard of ribbon, and he needs \( \frac{1}{6} \) yard of ribbon for each scrapbook.
The calculation is as follows:
\[
\text{Number of scrapbooks} = \frac{\text{Total ribbon}}{\text{Ribbon per scrapbook}} = \frac{\frac{5}{6}}{\frac{1}{6}}
\]
To divide fractions, we multiply by the reciprocal:
\[
\frac{5}{6} \div \frac{1}{6} = \frac{5}{6} \times \frac{6}{1} = \frac{5 \times 6}{6 \times 1} = \frac{30}{6} = 5
\]
Therefore, Alex can decorate **5 scrapbooks**.
Alex has \( \frac{5}{6} \) yard of ribbon, and he needs \( \frac{1}{6} \) yard of ribbon for each scrapbook.
The calculation is as follows:
\[
\text{Number of scrapbooks} = \frac{\text{Total ribbon}}{\text{Ribbon per scrapbook}} = \frac{\frac{5}{6}}{\frac{1}{6}}
\]
To divide fractions, we multiply by the reciprocal:
\[
\frac{5}{6} \div \frac{1}{6} = \frac{5}{6} \times \frac{6}{1} = \frac{5 \times 6}{6 \times 1} = \frac{30}{6} = 5
\]
Therefore, Alex can decorate **5 scrapbooks**.