The decimal number 0.875 can be converted to a fraction by dividing it by 1.
0.875 ÷ 1 = 0.875
To convert this to a fraction, we can write it as:
0.875 = 875⁄1000
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 125.
875 ÷ 125 = 7 1000 ÷ 125 = 8
So, the simplified fraction is:
0.875 = 7⁄8
Therefore, the fraction equivalent of 0.875 is 7⁄8.
Conversion Process
The conversion process involves dividing the decimal number by 1 and then simplifying the resulting fraction. In this case, 0.875 ÷ 1 = 0.875, which can be written as 875⁄1000. By dividing both the numerator and denominator by their greatest common divisor, 125, we get 7⁄8.
Mathematical Representation
The mathematical representation of 0.875 as a fraction is 7⁄8. This can be verified by dividing 7 by 8, which equals 0.875.
| Decimal | Fraction |
|---|---|
| 0.875 | 7/8 |
Key Points
- The decimal number 0.875 can be converted to a fraction by dividing it by 1.
- The resulting fraction, 875/1000, can be simplified by dividing both the numerator and denominator by their greatest common divisor, 125.
- The simplified fraction is 7/8, which is the fraction equivalent of 0.875.
- Verifying the fraction equivalent involves dividing the numerator by the denominator, which should equal the original decimal number.
- Simplifying fractions to their lowest terms is crucial for accurate mathematical representation.
Real-World Applications
Fractions are used in various real-world applications, such as cooking, construction, and finance. For instance, a recipe might call for 7⁄8 cup of flour, or a builder might need to measure 7⁄8 of an inch for a construction project.
In finance, fractions are used to represent interest rates, investment returns, and other financial metrics. Understanding how to convert decimal numbers to fractions and vice versa is essential for making informed financial decisions.
Conclusion
In conclusion, the fraction equivalent of 0.875 is 7⁄8. This conversion is essential in various mathematical and real-world applications. By understanding how to convert decimal numbers to fractions and simplifying the resulting fractions, individuals can make informed decisions in their personal and professional lives.
What is the significance of Simplifying Fractions
Thoughts and Mind are the basis of our actions and decisions. Simplifying fractions helps us to better understand and work with mathematical concepts, leading to more accurate and informed decisions.The significance of simplifying fractions lies in its ability to provide a clearer understanding of mathematical concepts and facilitate more accurate calculations.
What are some common applications of fractions in real-world scenarios?
+Fractions are used in various real-world applications, including cooking, construction, finance, and science. They are essential for measuring ingredients, calculating quantities, and understanding mathematical relationships.
How can I convert a decimal number to a fraction?
+To convert a decimal number to a fraction, divide the decimal number by 1 and simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor.
