Simplify 15/24 In 3 Easy Steps

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Simplifying fractions is an essential math skill that can be applied to various real-life situations, from cooking to finance. In this article, we'll explore how to simplify the fraction 15/24 in three easy steps.

Step 1: Identify the Greatest Common Divisor (GCD)

To simplify a fraction, we need 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. In this case, we need to find the GCD of 15 and 24.

We can use various methods to find the GCD, such as listing the factors of each number, using the Euclidean algorithm, or employing a calculator. Let's list the factors of 15 and 24 to find their common divisors:

Factors of 15: 1, 3, 5, 15 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

As we can see, the greatest common divisor of 15 and 24 is 3.

Why is finding the GCD important?

Finding the GCD is crucial in simplifying fractions because it allows us to divide both the numerator and denominator by their common divisor, resulting in a simpler fraction. In this case, we can divide both 15 and 24 by 3.

Step 2: Divide the Numerator and Denominator by the GCD

Now that we've found the GCD, we can simplify the fraction by dividing both the numerator and denominator by 3.

15 ÷ 3 = 5 24 ÷ 3 = 8

So, the simplified fraction becomes 5/8.

What happens when we simplify a fraction?

When we simplify a fraction, we're essentially reducing it to its lowest terms. This means that the fraction still represents the same value, but with smaller numbers. Simplifying fractions makes it easier to work with them in various mathematical operations and real-life applications.

Step 3: Verify the Simplified Fraction

To ensure that our simplified fraction is accurate, we can verify it by checking if the numerator and denominator have any common divisors other than 1. If they do, we can simplify the fraction further.

In this case, the simplified fraction 5/8 has no common divisors other than 1, so we can be confident that it's in its lowest terms.

Why is verifying the simplified fraction important?

Verifying the simplified fraction ensures that we've reduced it to its lowest terms. This is essential in maintaining the accuracy of mathematical calculations and avoiding potential errors.

In conclusion, simplifying the fraction 15/24 in three easy steps involves identifying the greatest common divisor, dividing the numerator and denominator by the GCD, and verifying the simplified fraction. By following these steps, we can ensure that our fractions are in their lowest terms, making it easier to work with them in various mathematical operations and real-life applications.

We hope this article has helped you understand how to simplify the fraction 15/24 in three easy steps. If you have any further questions or would like to explore more math topics, please don't hesitate to ask!