How many 1/16 pound servings are there in a bag of almonds that weighs 3/4 pound
The correct answer and explanation is:
To find how many 1/16-pound servings are in a bag of almonds that weighs 3/4 pound, we divide the total weight by the serving size: 34÷116\frac{3}{4} \div \frac{1}{16}
Step-by-Step Calculation:
To divide two fractions, multiply the first fraction by the reciprocal of the second: 34÷116=34×161=3×164×1=484=12\frac{3}{4} \div \frac{1}{16} = \frac{3}{4} \times \frac{16}{1} = \frac{3 \times 16}{4 \times 1} = \frac{48}{4} = 12
Answer: There are 12 servings of 1/16 pound in a 3/4 pound bag of almonds.
300-Word Explanation:
Understanding how to calculate how many smaller portions (servings) fit into a larger quantity is a practical application of division and fractions. In this case, we’re asked to determine how many 1/16-pound servings are in a 3/4-pound bag of almonds. This is a common type of problem in nutrition, cooking, and grocery shopping, where items are sold or consumed in fractional amounts.
We begin with the total weight of the almonds: 3/4 of a pound. A single serving weighs 1/16 of a pound. To find out how many of these smaller servings fit into the total, we divide the total weight by the size of one serving. Dividing fractions involves multiplying the first fraction by the reciprocal (or flipped version) of the second. The reciprocal of 1/16 is 16/1.
So, we compute: 34×161=484=12\frac{3}{4} \times \frac{16}{1} = \frac{48}{4} = 12
This tells us that twelve servings of 1/16 pound can be made from a 3/4-pound bag. This makes intuitive sense too: since 1/16 is a very small portion, and 3/4 is equivalent to 12/16, there are exactly 12 of these smaller portions in the bag.
This type of fraction division is useful in many real-life scenarios, such as meal planning, dividing bulk food into individual portions, or converting recipes. It’s a clear example of how math helps in everyday decision-making.