Understanding fractions and their various forms is a fundamental concept in mathematics, essential for problem-solving and critical thinking. In this article, we'll delve into the concept of the decimal 90 as a fraction and explore how it can be simplified.
What is 90 as a Fraction?
When we convert the decimal 90 to a fraction, we can express it in its simplest form. The decimal 90 can be written as 90/1, which is essentially the fraction form of the decimal.
How to Simplify 90 as a Fraction?
To simplify the fraction 90/1, we need to find the greatest common divisor (GCD) of the numerator (90) and the denominator (1). Since the GCD of 90 and 1 is 1, the fraction 90/1 is already in its simplest form.
However, if we want to express 90 as a fraction with a denominator other than 1, we can consider the following:
90 = 90/1 = 180/2 = 270/3 = 360/4
As you can see, we can express 90 as a fraction with different denominators, but the numerator will also change accordingly.
Simplifying Fractions
Simplifying fractions involves reducing the numerator and denominator to their lowest terms. This is achieved by dividing both the numerator and denominator by the greatest common divisor (GCD).
For example, consider the fraction 12/16. To simplify this fraction, we need to find the GCD of 12 and 16, which is 4. We can then divide both the numerator and denominator by 4, resulting in the simplified fraction 3/4.
Benefits of Simplifying Fractions
Simplifying fractions has several benefits, including:
- Improved readability and understanding of mathematical expressions
- Enhanced problem-solving skills and accuracy
- Simplified calculations and reduced errors
- Better representation of data and results
Real-World Applications of Fractions
Fractions are used extensively in various real-world applications, including:
- Cooking and recipe measurements
- Music and rhythm
- Finance and accounting
- Science and engineering
- Architecture and design
Understanding fractions and their simplified forms is essential for effective communication and problem-solving in these fields.
Common Mistakes When Simplifying Fractions
When simplifying fractions, it's essential to avoid common mistakes, such as:
- Dividing the numerator and denominator by different numbers
- Forgetting to simplify the fraction further
- Rounding or approximating the result
By avoiding these mistakes, you can ensure accurate and efficient simplification of fractions.
Conclusion and Next Steps
In this article, we explored the concept of 90 as a fraction and how it can be simplified. We also discussed the benefits and real-world applications of simplifying fractions.
To further develop your understanding of fractions, we recommend practicing simplification exercises and exploring more advanced topics, such as equivalent ratios and proportion.
FAQ Section:
What is the simplest form of the fraction 90/1?
+The simplest form of the fraction 90/1 is 90/1, as the GCD of 90 and 1 is 1.
How can I simplify the fraction 12/16?
+To simplify the fraction 12/16, divide both the numerator and denominator by the GCD, which is 4. The simplified fraction is 3/4.
What are some real-world applications of fractions?
+Fractions are used in various real-world applications, including cooking, music, finance, science, and architecture.