5 Easy Steps To Simplify 105/20

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Simplifying Fractions: A Guide to Making Math Easier

Fractions can be intimidating, especially when dealing with large numbers. However, with a few simple steps, you can simplify even the most complex fractions, such as 105/20. In this article, we'll explore the importance of simplifying fractions and provide a step-by-step guide on how to do it.

Why Simplify Fractions?

Simplifying fractions is essential in mathematics because it helps to:

• Reduce errors: Simplifying fractions reduces the chance of errors in calculations and comparisons.
• Improve understanding: Simplified fractions make it easier to understand the relationship between numbers.
• Enhance problem-solving: Simplifying fractions enables you to approach problems more efficiently.

The 5 Easy Steps to Simplify 105/20

Now, let's dive into the 5 easy steps to simplify the fraction 105/20:

Step 1: Find the Greatest Common Divisor (GCD)

To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator (105) and the denominator (20). The GCD is the largest number that divides both numbers without leaving a remainder.

Step 2: List the Factors of the Numerator and Denominator

List the factors of 105: 1, 3, 5, 7, 15, 21, 35, 105 List the factors of 20: 1, 2, 4, 5, 10, 20

Step 3: Identify the Greatest Common Divisor

The greatest common divisor of 105 and 20 is 5.

Step 4: Divide the Numerator and Denominator by the GCD

Divide the numerator (105) by the GCD (5): 105 ÷ 5 = 21 Divide the denominator (20) by the GCD (5): 20 ÷ 5 = 4

Step 5: Write the Simplified Fraction

The simplified fraction is 21/4.

Using the Simplified Fraction in Real-Life Scenarios

Now that you've simplified the fraction 105/20 to 21/4, you can apply it to various real-life scenarios, such as:

• Cooking: If a recipe requires 105 grams of sugar and you want to reduce the amount to 20 servings, you can use 21 grams of sugar per serving.
• Finance: If you have 105 dollars and want to divide it among 20 people, each person will receive 21/4 dollars or $5.25.

Common Mistakes to Avoid When Simplifying Fractions

When simplifying fractions, it's essential to avoid common mistakes, such as:

• Not finding the greatest common divisor (GCD) correctly
• Dividing the numerator and denominator by different numbers
• Not checking if the fraction can be simplified further

Conclusion: Simplifying Fractions Made Easy

Simplifying fractions is a straightforward process that can be mastered with practice. By following the 5 easy steps outlined in this article, you can simplify even the most complex fractions, such as 105/20, and apply them to various real-life scenarios. Remember to avoid common mistakes and take your time when simplifying fractions.

What are your favorite tips for simplifying fractions? Share your thoughts in the comments below!