Final answer:
To find the total weight, multiply the weight of one large cookie (5/6 oz) by 2 to find the weight of 2 large cookies, which is 10/6 oz or 5/3 oz, and then add the weight of 1 small cookie (4/9 oz). With a common denominator of 9, the total weight is 19/9 oz, or 2 1/9 oz when converted to a mixed number.
Step-by-step explanation:
To find the total weight of 2 large cookies and 1 small cookie, we will first find the weight of the two large cookies by multiplying the weight of one large cookie (5/6 oz) by 2, and then add the weight of the small cookie (4/9 oz).
- Weight of 2 large cookies = 5/6 oz × 2
- Weight of 2 large cookies = 10/6 oz or 5/3 oz
- Weight of 1 small cookie = 4/9 oz
- Total weight = Weight of 2 large cookies + Weight of 1 small cookie
- Total weight = 5/3 oz + 4/9 oz
To add these fractions, we need a common denominator. The smallest common denominator for 3 and 9 is 9. We convert 5/3 oz to have a denominator of 9.
- 5/3 oz = (5 × 3) / (3 × 3) = 15/9 oz
- Total weight = 15/9 oz + 4/9 oz
- Total weight = (15 + 4) / 9 oz
- Total weight = 19/9 oz
The total weight of 2 large cookies and 1 small cookie is therefore 19/9 oz, which can also be written as 2 1/9 oz when converted to a mixed number.