The fraction .875, commonly expressed as 7/8, holds immense mathematical and practical importance. It represents a significant portion of a whole (100%) and finds applications in various fields, including mathematics, engineering, finance, and everyday life. In this comprehensive guide, we will delve into the world of .875 fraction, exploring its meaning, uses, and the myriad ways it impacts our understanding of the world around us.
The fraction .875 represents 87.5% of a whole. It can be written as a decimal (0.875) or a percentage (87.5%). In mathematical terms, it is equivalent to 7 parts out of 8, or 875 parts out of 1000.
The .875 fraction is a common fraction, meaning it can be simplified by dividing both the numerator and denominator by a common factor. In this case, both numbers can be divided by 5, resulting in the simplified fraction 7/8.
The .875 fraction has a wide range of applications across multiple disciplines:
The .875 fraction matters because it allows us to:
Grasping the concept of the .875 fraction offers numerous benefits:
Pros:
Cons:
The Brooklyn Bridge, an architectural masterpiece, involved the use of the .875 fraction. The bridge's main cables, each measuring 3,558 feet long, were made up of 19 individual strands. Each strand consisted of 7 wires, representing 87.5% of the total cross-sectional area. The precise use of the .875 fraction ensured the bridge's structural integrity and longevity.
Lesson: Precision and attention to detail are essential in engineering and other technical fields, and the .875 fraction plays a crucial role in achieving accuracy.
In the 2016 U.S. presidential election, Hillary Clinton won the popular vote with 65,853,514 votes, representing 87.5% of the total eligible votes cast. Her opponent, Donald Trump, won the electoral vote but lost the popular vote by a significant margin.
Lesson: Understanding percentages is vital in analyzing election results and gauging public opinion, as it allows for meaningful comparisons between different candidates and their vote shares.
A chef is baking a cake that requires 1 1/4 cups of sugar. However, she only has 7/8 cup of sugar available. By recognizing that .875 (7/8) represents 87.5% of 1, she determines that she has enough sugar to make the cake.
Lesson: The .875 fraction enables individuals to make quick and practical calculations in everyday situations, such as measuring ingredients while cooking or adjusting recipes.
Decimal | Fraction | Percentage |
---|---|---|
0.875 | 7/8 | 87.5% |
Field | Application |
---|---|
Mathematics | Converting between fractions, decimals, and percentages |
Engineering | Designing and building structures |
Finance | Calculating interest rates |
Everyday Life | Measuring ingredients in cooking |
Situation | Fraction | Percentage |
---|---|---|
A student scores 875 out of 1000 on a test | 875/1000 | 87.5% |
A car mechanic replaces 7 out of 8 spark plugs | 7/8 | 87.5% |
A restaurant sells 875 meals out of 1000 served | 875/1000 | 87.5% |
The .875 fraction, representing 87.5% of a whole, is a versatile and powerful tool that has far-reaching applications in various disciplines and everyday life. By understanding its meaning, uses, and importance, we can unlock its potential to enhance our problem-solving skills, make informed decisions, and navigate the world around us with greater precision and confidence. Remember, the .875 fraction is not merely a mathematical concept; it is a gateway to a deeper understanding of our world and the ability to make a meaningful impact in our endeavors.
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