Simplify 78/100 In 5 Easy Steps

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Simplify 78/100 In 5 Easy Steps

Are you struggling to simplify fractions? Look no further! Simplifying fractions is a crucial math skill that can be mastered with ease. In this article, we will take the fraction 78/100 and simplify it in 5 easy steps. Whether you're a student, teacher, or simply looking to improve your math skills, this guide is perfect for you.

Simplifying fractions is an essential skill that can help you solve math problems more efficiently. It's used in various real-life situations, such as cooking, finance, and science. By simplifying fractions, you can reduce complex numbers to their simplest form, making it easier to work with them.

Why Simplify Fractions?

Simplifying fractions is important because it helps you:

• Reduce complex numbers to their simplest form
• Improve your math accuracy
• Solve problems more efficiently
• Enhance your problem-solving skills

Step 1: Find the Greatest Common Divisor (GCD)

The first step in simplifying the fraction 78/100 is to find the Greatest Common Divisor (GCD) of both numbers. The GCD is the largest number that divides both numbers without leaving a remainder.

To find the GCD of 78 and 100, you can use the following methods:

• List the factors of both numbers: 78 = 1, 2, 3, 6, 9, 13, 18, 26, 39, 78 and 100 = 1, 2, 4, 5, 10, 20, 25, 50, 100
• Identify the common factors: 1, 2
• Choose the largest common factor: 2

The GCD of 78 and 100 is 2.

Step 2: Divide Both Numbers by the GCD

Now that you've found the GCD, it's time to divide both numbers by it.

78 ÷ 2 = 39 100 ÷ 2 = 50

Your new fraction is 39/50.

Step 3: Check if the Fraction Can be Simplified Further

Now that you've simplified the fraction to 39/50, you need to check if it can be simplified further.

To do this, find the GCD of 39 and 50:

• List the factors of both numbers: 39 = 1, 3, 13, 39 and 50 = 1, 2, 5, 10, 25, 50
• Identify the common factors: 1
• Choose the largest common factor: 1

Since the GCD is 1, the fraction 39/50 cannot be simplified further.

Step 4: Write the Simplified Fraction

Your simplified fraction is 39/50.

Step 5: Check Your Work

Finally, check your work by verifying that the simplified fraction is equivalent to the original fraction.

39/50 = 0.78 78/100 = 0.78

Both fractions are equal, which means you've successfully simplified the fraction 78/100.

Conclusion

Simplifying fractions is a valuable math skill that can be mastered with practice. By following these 5 easy steps, you can simplify fractions like 78/100 with ease. Remember to always check your work and verify that the simplified fraction is equivalent to the original fraction.

We hope this article has helped you simplify the fraction 78/100 and improved your math skills. Share your thoughts and questions in the comments below.