Simplify 24/40 In 3 Easy Steps

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Reducing fractions can be a bit tricky, but don't worry, we'll break it down into simple steps. Let's simplify 24/40 in 3 easy steps.

What is Simplifying Fractions?

Before we dive into the steps, let's quickly understand what simplifying fractions means. Simplifying fractions is the process of reducing a fraction to its simplest form by dividing both the numerator (top number) and the denominator (bottom number) by the greatest common divisor (GCD). The GCD is the largest number that divides both numbers evenly.

Step 1: Find the Greatest Common Divisor (GCD)

To simplify 24/40, we need to find the GCD of 24 and 40. To do this, we can list the factors of both numbers:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

As we can see, the greatest common factor is 8.

Why is finding the GCD important?

Finding the GCD is crucial because it allows us to divide both the numerator and the denominator by the same number, which simplifies the fraction.

Step 2: Divide the Numerator and Denominator by the GCD

Now that we have found the GCD (8), we can divide both the numerator (24) and the denominator (40) by 8:

24 ÷ 8 = 3 40 ÷ 8 = 5

So, our simplified fraction is 3/5.

Step 3: Check if the Fraction can be Simplified Further

To ensure that our fraction is in its simplest form, we need to check if the numerator and denominator have any common factors. In this case, 3 and 5 have no common factors other than 1.

Therefore, our final simplified fraction is 3/5.

Conclusion: Simplifying 24/40 Made Easy

Simplifying fractions may seem daunting, but by following these 3 easy steps, you can reduce any fraction to its simplest form. Remember to find the GCD, divide the numerator and denominator by the GCD, and check if the fraction can be simplified further.

Now, go ahead and practice simplifying fractions with confidence!