I have a gross of similar articles. If I use 3 scores and 2 dozen of a...
Analysis:
To find the fraction of remaining articles, we need to understand the given information and calculate the number of remaining articles after using 3 scores (60 articles) and 2 dozen (24 articles).
Given Information:
- Gross of similar articles
- Using 3 scores (3 x 20 = 60 articles)
- Using 2 dozen (2 x 12 = 24 articles)
Calculating Remaining Articles:
1. Gross of Similar Articles:
- The term "gross" refers to a quantity of 144 items.
- Therefore, we have a total of 144 articles.
2. Articles Used:
- 3 scores (3 x 20 = 60 articles)
- 2 dozen (2 x 12 = 24 articles)
- Total used articles = 60 + 24 = 84 articles
3. Remaining Articles:
- To find the remaining articles, we subtract the used articles from the total articles.
- Remaining articles = Total articles - Used articles = 144 - 84 = 60 articles
Fraction of Remaining Articles:
- Fraction represents a part of a whole. To find the fraction of remaining articles, we need to compare the number of remaining articles to the total number of articles.
1. Definition of Fraction:
- A fraction consists of a numerator and a denominator, separated by a slash (/).
- The numerator represents the number of parts we have.
- The denominator represents the total number of parts that make up a whole.
2. Numerator and Denominator:
- Numerator: Number of remaining articles (60)
- Denominator: Total number of articles (144)
3. Writing the Fraction:
- The fraction of remaining articles can be written as: 60/144
4. Simplifying the Fraction:
- To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
- GCD(60, 144) = 12
- Simplified fraction = 60/144 = 5/12
Answer:
The fraction of remaining articles is 5/12.
I have a gross of similar articles. If I use 3 scores and 2 dozen of a...
Answer with explanation (steps)
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