Simplifying fractions is an essential math skill that can make calculations easier and more efficient. When it comes to simplifying 90 as a fraction, there are several ways to approach it. In this article, we'll explore five different methods to simplify 90 as a fraction, making it easier to work with in various mathematical contexts.
What is a Fraction? A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number). Fractions can be simplified by dividing both the numerator and denominator by the greatest common divisor (GCD).
Why Simplify Fractions? Simplifying fractions makes them easier to work with, especially when performing arithmetic operations like addition, subtraction, multiplication, and division. Simplified fractions also make it easier to compare and order fractions, as well as to identify equivalent fractions.
Method 1: Dividing by the Greatest Common Divisor (GCD) The GCD of 90 and 100 (the denominator) is 10. To simplify the fraction, we can divide both the numerator and denominator by 10.
90 ÷ 10 = 9 100 ÷ 10 = 10
So, the simplified fraction is 9/10.
Method 2: Factoring Out Common Factors Another way to simplify 90 as a fraction is to factor out common factors from the numerator and denominator.
90 = 9 × 10 100 = 10 × 10
By canceling out the common factor of 10, we're left with 9/10.
Method 3: Using a Fraction Simplifier Tool If you're not comfortable with manual calculations or want to double-check your work, you can use a fraction simplifier tool. These online tools can simplify fractions quickly and accurately.
Simply enter the fraction 90/100, and the tool will output the simplified fraction: 9/10.
Method 4: Converting to a Decimal Another approach is to convert the fraction to a decimal and then simplify the decimal.
90 ÷ 100 = 0.9
To simplify the decimal, we can write it as a fraction: 9/10.
Method 5: Using a Fraction Reduction Algorithm A fraction reduction algorithm is a step-by-step process for simplifying fractions. This method involves dividing both the numerator and denominator by the GCD, just like in Method 1.
- Find the GCD of 90 and 100: 10
- Divide both the numerator and denominator by 10: 9/10
By using any of these five methods, you can simplify 90 as a fraction to 9/10.
Conclusion Simplifying fractions is an important math skill that can make calculations easier and more efficient. By using one of the five methods outlined in this article, you can simplify 90 as a fraction to 9/10. Whether you're a student, teacher, or simply someone who wants to improve their math skills, these methods can help you become more confident and proficient in working with fractions.
Take Action Now that you've learned five ways to simplify 90 as a fraction, try applying these methods to other fractions. Practice simplifying fractions regularly to build your skills and confidence. Share this article with friends or classmates who may benefit from learning these methods. By working together, we can become more proficient in math and make calculations easier and more efficient.
FAQ Section
What is the greatest common divisor (GCD) of 90 and 100?
+The GCD of 90 and 100 is 10.
How do I simplify a fraction using a fraction simplifier tool?
+Enter the fraction into the tool, and it will output the simplified fraction.
What is the difference between a fraction reduction algorithm and dividing by the GCD?
+A fraction reduction algorithm is a step-by-step process that involves dividing both the numerator and denominator by the GCD, while dividing by the GCD is a single step in the algorithm.