Simplify 10/90: Easy Steps To Reduce The Fraction

Quick Links :

Are you tired of dealing with complicated fractions in your math problems? Do you wish there was an easier way to simplify them? Look no further! In this article, we will explore the concept of simplifying fractions, specifically the fraction 10/90. We will break down the steps into easy-to-follow instructions, making it accessible to anyone who wants to learn.

What is Simplifying Fractions?

Simplifying fractions is the process of reducing a fraction to its lowest terms. This means finding the greatest common divisor (GCD) of the numerator and denominator and dividing both numbers by it. The result is a simpler fraction that still represents the same value.

Why is Simplifying Fractions Important?

Simplifying fractions is essential in various mathematical operations, such as adding, subtracting, multiplying, and dividing fractions. It helps to:

• Reduce errors in calculations
• Make fractions easier to compare and order
• Simplify complex math problems
• Improve understanding of fractions and their relationships

Simplifying 10/90: Step-by-Step Guide

Now that we understand the importance of simplifying fractions, let's dive into the step-by-step process of simplifying 10/90.

Step 1: Find the Greatest Common Divisor (GCD)

To simplify 10/90, we need to find the GCD of 10 and 90. The GCD is the largest number that divides both 10 and 90 without leaving a remainder.

Using the list method or prime factorization, we find that the GCD of 10 and 90 is 10.

Step 2: Divide Both Numbers by the GCD

Now that we have found the GCD, we can simplify the fraction by dividing both numbers by 10.

10 ÷ 10 = 1 90 ÷ 10 = 9

So, the simplified fraction is 1/9.

Step 3: Check if the Fraction Can Be Simplified Further

In this case, the fraction 1/9 cannot be simplified further, as the numerator and denominator have no common factors other than 1.

Real-World Applications of Simplifying Fractions

Simplifying fractions has numerous real-world applications, such as:

• Cooking and recipes: Simplifying fractions helps in measuring ingredients accurately and scaling recipes up or down.
• Science and engineering: Simplifying fractions is crucial in calculations involving ratios and proportions.
• Finance and economics: Simplifying fractions helps in calculating interest rates, investment returns, and other financial metrics.

Practical Examples

Here are some practical examples of simplifying fractions:

• 12/18 = 2/3 (simplified fraction)
• 8/16 = 1/2 (simplified fraction)
• 6/12 = 1/2 (simplified fraction)

Conclusion: Take the First Step Towards Simplifying Fractions

Simplifying fractions is an essential math skill that can make a significant difference in your problem-solving abilities. By following the easy steps outlined in this article, you can simplify fractions with confidence. Remember, practice makes perfect, so start practicing with different fractions to become a pro at simplifying them.

Now that you have learned how to simplify fractions, share your newfound knowledge with others. Comment below with your favorite fraction simplification techniques or ask questions if you need further clarification.