Step-by-Step Method to Compare Rational Numbers

To compare two rational numbers, follow these steps:

Step 1: Start with the two rational numbers you want to compare.

Step 2: Make sure both rational numbers have positive denominators.

Step 3: Find the Least Common Multiple (LCM) of the positive denominators.

Step 4: Rewrite each rational number with the LCM as the new denominator.

Step 5: Compare the numerators of these new fractions. The one with the larger numerator is the larger rational number.

Comparision of Rational Numbers

Comparison of Rational Numbers: Rational numbers are crucial for problem-solving across various disciplines. They help us solve equations, analyze data, make predictions, and model real-world scenarios in science, engineering, economics, and finance. Comparing rational numbers is similar to comparing fractions and integers.

These numbers are compared using the numerators and denominators. It is compared using either the decimal or the same denominator method.

The article will detail the rational numbers and the methods to compare them with examples.

Table of Content

  • What are Rational Numbers?
  • Properties of Rational Numbers
  • Rules For Comparing Rational Numbers
  • Step-by-Step Method to Compare Rational Numbers
  • Comparing Rational Numbers with Decimal Method
  • Examples of Comparing Rational Numbers

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What are Rational Numbers?

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Properties of Rational Numbers

The properties of rational numbers are simplified into simple points:...

Rules For Comparing Rational Numbers

There are some rules to compare rational numbers; the simple rules are listed below:...

Step-by-Step Method to Compare Rational Numbers

To compare two rational numbers, follow these steps:...

Comparing Rational Numbers with Decimal Method

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Examples of Comparing Rational Numbers

Example 1. Which is greater, -1/2 or – 1/5 of the two rational numbers?...

Conclusion

Rational numbers, written in the ratio of two integers, are easy to compare, like fractions using numerators and denominators. Decimal method is followed only when it is easy to convert the fraction into decimals,with the help of either method we can compare the rational numbers....

FAQs on Comparision of Rational Numbers

What are Three Real-Life Examples of Rational Numbers?...