Final answer:
To find the number of full 4 1/4-in. sheets that can be cut from 26 1/8-in. stock, we divide the length of the stock by the length of each sheet and simplify the resulting fraction. The answer is 6 sheets.
Step-by-step explanation:
To find the number of full 4 1/4-in. sheets that can be cut from 26 1/8-in. stock, we need to divide the length of the stock by the length of each sheet. To do this, we need to convert both measurements to fractions with the same denominator.
The length of each sheet is 4 1/4-in., which can be written as a fraction with a denominator of 4: 17/4-in.
The length of the stock is 26 1/8-in., which can be written as a fraction with a denominator of 8: 209/8-in.
Now we can divide the length of the stock by the length of each sheet to find the number of sheets:
Number of sheets = Length of stock / Length of each sheet
= (209/8) / (17/4)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
= (209/8) * (4/17)
= 836/136
The result is a fraction, which can be simplified to:
= 209/34
Therefore, 6 full 4 1/4-in. sheets can be cut from 26 1/8-in. stock.
Learn more about Fraction Division