How many (1/16)-pound servings are there in a bag of almonds that weighs (3/4) pounds? Type the answer in the box.
The Correct Answer and Explanation is:
To find out how many 116\frac{1}{16}161-pound servings are in a 34\frac{3}{4}43-pound bag of almonds, we divide the total weight by the weight of one serving:34÷116\frac{3}{4} \div \frac{1}{16}43÷161
Step-by-Step Solution:
To divide fractions, multiply the first fraction by the reciprocal of the second:34×161=3×164×1=484=12\frac{3}{4} \times \frac{16}{1} = \frac{3 \times 16}{4 \times 1} = \frac{48}{4} = 1243×116=4×13×16=448=12
Answer: 12 servings
300-Word Explanation:
To solve this problem, we are essentially being asked how many times a smaller quantity—116\frac{1}{16}161 pound—fits into a larger one—34\frac{3}{4}43 pound. This is a classic example of a division problem involving fractions. When dividing one fraction by another, we use the “Keep-Change-Flip” method: keep the first fraction as it is, change the division to multiplication, and flip the second fraction (take its reciprocal).
We start with the expression:34÷116\frac{3}{4} \div \frac{1}{16}43÷161
Using Keep-Change-Flip:34×161\frac{3}{4} \times \frac{16}{1}43×116
Now, multiply the numerators and the denominators:3×164×1=484=12\frac{3 \times 16}{4 \times 1} = \frac{48}{4} = 124×13×16=448=12
So, there are 12 one-sixteenth-pound servings in a three-quarter-pound bag of almonds.
This makes sense because 1 pound = 16 one-sixteenth-pound servings. So 34\frac{3}{4}43 of a pound should be 34×16=12\frac{3}{4} \times 16 = 1243×16=12 servings.
Understanding how to divide fractions is useful in real-life contexts, such as cooking, where ingredient quantities often come in fractions and need to be portioned out. In this example, a person could use this math to plan snack portions, ensuring they evenly divide a bulk amount into smaller, equal servings.
