Answer: 8.25
Step-by-step explanation: To find the number of shelves Cam can make from the plywood, we need to divide the width of the plywood by the width of each shelf.
The width of the plywood is given as 6 7/8 feet.
The width of each shelf is given as 1 1/6 feet.
To divide fractions, we need to find the reciprocal (or flip) of the second fraction and multiply it by the first fraction.
To do this, we first convert both mixed numbers to improper fractions:
6 7/8 = 55/8
1 1/6 = 7/6
Now, we can divide the width of the plywood by the width of each shelf:
55/8 ÷ 7/6
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
55/8 * 6/7
When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(55 * 6) / (8 * 7) = 330 / 56
We can simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
(330 ÷ 2) / (56 ÷ 2) = 165 / 28
So, a good estimate for the number of shelves Cam can make is 165/28.
However, we can simplify this fraction further. The numerator is divisible by 5 and the denominator is divisible by 7:
(165 ÷ 5) / (28 ÷ 7) = 33/4
So, a simplified estimate for the number of shelves Cam can make is 33/4.
In decimal form, this is approximately 8.25 shelves.