Simplify 45/100 To Lowest Terms Fraction

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Simplifying a fraction means finding the equivalent fraction with the smallest possible numerator and denominator.

To simplify 45/100, we can divide both the numerator (45) and the denominator (100) by 5.

45 ÷ 5 = 9 100 ÷ 5 = 20

So, the simplified fraction is:

9/20

This is the lowest terms fraction equivalent to 45/100.

What is Simplifying Fractions?

Simplifying fractions is a process of finding the equivalent fraction with the smallest possible numerator and denominator. This is done by dividing both the numerator and the denominator by the greatest common divisor (GCD) of the two numbers.

For example, in the fraction 45/100, the GCD of 45 and 100 is 5. By dividing both numbers by 5, we get the simplified fraction 9/20.

Why Simplify Fractions?

Simplifying fractions is important for several reasons:

• It makes fractions easier to work with and compare.
• It reduces the complexity of mathematical expressions and equations.
• It helps to avoid errors and misunderstandings.

How to Simplify Fractions?

To simplify a fraction, follow these steps:

1. Find the greatest common divisor (GCD) of the numerator and the denominator.
2. Divide both the numerator and the denominator by the GCD.
3. Write the resulting fraction as the simplified form.

For example, to simplify the fraction 18/24, we can follow these steps:

1. Find the GCD of 18 and 24, which is 6.
2. Divide both numbers by 6: 18 ÷ 6 = 3 and 24 ÷ 6 = 4.
3. Write the resulting fraction as the simplified form: 3/4.

Examples of Simplifying Fractions

Here are some examples of simplifying fractions:

• 12/16 = 3/4 (divide both numbers by 4)
• 9/12 = 3/4 (divide both numbers by 3)
• 15/20 = 3/4 (divide both numbers by 5)
• 24/30 = 4/5 (divide both numbers by 6)

Common Mistakes in Simplifying Fractions

Here are some common mistakes to avoid when simplifying fractions:

• Dividing by a number that is not the GCD.
• Not dividing both numbers by the same factor.
• Writing the simplified fraction in the wrong form.

By following the steps and avoiding common mistakes, you can simplify fractions with confidence and accuracy.

Tips for Simplifying Fractions

Here are some tips for simplifying fractions:

• Always find the GCD of the numerator and the denominator.
• Divide both numbers by the same factor.
• Check your work by multiplying the numerator and the denominator by the same factor.
• Practice simplifying fractions regularly to build your skills and confidence.

By following these tips and practicing regularly, you can become proficient in simplifying fractions and master this important math skill.

Conclusion

Simplifying fractions is an important math skill that can help you to work with fractions more easily and accurately. By following the steps and tips outlined in this article, you can simplify fractions with confidence and accuracy. Remember to always find the GCD of the numerator and the denominator, divide both numbers by the same factor, and check your work by multiplying the numerator and the denominator by the same factor. With practice and patience, you can master the skill of simplifying fractions and become more proficient in math.