Answer :
Final answer:
The weights of the fishing lures in order from least to greatest are:
b) 3/8 oz, 1/4 oz, 9/16 oz, 5/8 oz
Explanation:
The given weights are expressed in fractions of ounces. To arrange them from least to greatest, we need to compare the numerators of the fractions since the denominators are the same (oz).
Starting with option b) 3/8 oz, 1/4 oz, 9/16 oz, 5/8 oz:
1. 1/4 oz: The smallest fraction as its numerator is the smallest.
2. 3/8 oz: The next in line as its numerator is larger than 1/4 but smaller than the subsequent fractions.
3. 9/16 oz: Followed by 9/16, which has a larger numerator than 3/8.
4. 5/8 oz: Lastly, 5/8 has the largest numerator among the given options.
So, the correct order from least to greatest is 3/8 oz, 1/4 oz, 9/16 oz, 5/8 oz.
In summary, by comparing the numerators and keeping the common denominator, we determined that option b) represents the correct order of fishing lure weights from least to greatest. This method ensures a systematic and accurate arrangement of the given weights.
Final Answer:
The weights of the fishing lures in order from least to greatest are: a) 1/4 oz, 3/8 oz, 9/16 oz, 5/8 oz. This order is determined by comparing the fractions and recognizing the numerical values of the fractions.So,the correct option is a.
Explanation:
To determine the order of the fishing lures from least to greatest, we need to compare their weights. The smallest weight is 1/4 oz, followed by 3/8 oz, 9/16 oz, and the largest weight is 5/8 oz. Therefore, the correct order is a) 1/4 oz, 3/8 oz, 9/16 oz, 5/8 oz. This is established by recognizing the numerical values of the fractions, where 1/4 is smaller than 3/8, and 5/8 is larger than 9/16. By arranging them accordingly, we get the final order.
In mathematical terms, comparing fractions involves analyzing their numerators and denominators. In this case, the numerators are the same (1) for the first two fractions, but the denominator of 4 in 1/4 is smaller than the denominator of 8 in 3/8, indicating that 1/4 is smaller. Similarly, comparing 5/8 and 9/16, both have the same denominator of 16, but the numerator of 5 in 5/8 is larger than the numerator of 9 in 9/16, indicating that 5/8 is larger. This process ensures the correct order of the fishing lures.
In summary, understanding the numerical relationships within fractions allows us to accurately arrange the fishing lures in ascending order, from the least to the greatest weight.Thus,the correct option is a.