Simplify 21/28 In 5 Easy Steps

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Simplify 21/28 In 5 Easy Steps

Reducing fractions to their simplest form is an essential skill in mathematics, especially when dealing with complex calculations or comparisons. Simplifying a fraction means finding an equivalent fraction with the smallest possible numerator and denominator. In this article, we will explore the step-by-step process of simplifying the fraction 21/28.

Why Simplify Fractions?

Before we dive into the process of simplifying 21/28, let's quickly discuss the importance of simplifying fractions. Simplifying fractions makes it easier to:

• Compare fractions: Simplified fractions allow for easier comparisons between different fractions.
• Perform calculations: Simplified fractions make calculations, such as addition and multiplication, more straightforward.
• Understand mathematical concepts: Simplifying fractions helps to develop a deeper understanding of mathematical concepts, such as equivalent ratios and proportions.

Step 1: Find the Greatest Common Divisor (GCD)

The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both numbers without leaving a remainder. To find the GCD of 21 and 28, we can use the following methods:

• List the factors of each number: 21 = 1, 3, 7, 21; 28 = 1, 2, 4, 7, 14, 28
• Identify the common factors: 1, 7
• Choose the largest common factor: 7

Step 2: Divide Both Numbers by the GCD

Now that we have found the GCD, we can divide both the numerator and denominator by 7.

21 ÷ 7 = 3 28 ÷ 7 = 4

Step 3: Write the Simplified Fraction

After dividing both numbers by the GCD, we can write the simplified fraction:

3/4

Step 4: Check for Further Simplification

Although we have simplified the fraction, it's essential to check if it can be further simplified. In this case, the fraction 3/4 cannot be simplified any further.

Step 5: Verify the Simplified Fraction

To verify that the simplified fraction is correct, we can multiply the numerator and denominator by the GCD to ensure we get the original fraction.

3 × 7 = 21 4 × 7 = 28

Since we obtained the original fraction, we can confirm that the simplified fraction is indeed correct.

Conclusion: Simplify Fractions with Ease

Simplifying fractions is a straightforward process that requires finding the greatest common divisor and dividing both numbers by the GCD. By following these 5 easy steps, you can simplify fractions with ease and confidence.

Take Action: Practice Simplifying Fractions

Practice simplifying fractions with different numbers to develop your skills. Start with simple fractions and gradually move on to more complex ones.