Items like furniture, books, and TVs have the shape of a rectangular box, which is called a cuboid. On the other hand, things like ice cubes, dice, and Rubik's cubes are examples of a cube. A cube is a special kind of cuboid where all the sides are squares and are the same size.
Introduction
Numbers are very important in math and science. We use them for different math operations and to solve problems. There are different types of numbers like natural numbers, whole numbers, integers, and rational numbers. In this article, we will talk about the difference between two types of numbers - fractions and rational numbers.
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What Are Fractions and Their Examples?
A fraction shows a part of a whole. It is written as a ratio of two numbers. The top number is called the numerator, and it shows the part. The bottom number is called the denominator, and it shows the whole. For example, "one-half" is written as 1/2. Here, 1 is the numerator, and 2 is the denominator.
Fractions are used to show amounts that are not whole numbers. For example, if you cut an apple into two equal parts, each part is 1/2 of the apple.
What Are Rational Numbers and Their Examples?
A rational number is a number that can be written as a ratio of two integers, where the denominator is not zero. Fractions are one kind of rational number. This means all fractions are rational numbers, but not all rational numbers are fractions.
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For example, the number 0.125 can be written as a rational number by writing it as the fraction 1/8. Similarly, the decimal form of rational numbers can be written as fractions.
Difference between fractions and rational numbers:
The difference between fractions and rational numbers can be described in the following table:
Is every Rational Number a Fraction and Vice Versa?
Every fraction is a rational number, but not every rational number is a fraction. This is because a fraction is a specific kind of rational number that shows a ratio of two whole numbers (like 3/4 or 5/2). A rational number can be any number that can be written as a ratio of two whole numbers, which includes whole numbers, fractions, and decimals that repeat.
Similarities between Fractions and Rational Numbers:
Fractions and rational numbers are alike in a few ways:
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Both fractions and rational numbers can be simplified to their simplest form by dividing the top number (numerator) and the bottom number (denominator) by their biggest shared factor.
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Both fractions and rational numbers are shown as a ratio of two whole numbers.
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Both fractions and rational numbers are used in math for adding, subtracting, multiplying, and dividing.
Fractions and rational numbers are similar because they both represent numbers in a simple way. Fractions are a kind of rational number that show a ratio of two whole numbers. Every fraction is a rational number, but not every rational number is a fraction. Rational numbers can be any number that can be written as a ratio of two whole numbers, including whole numbers, fractions, and repeating decimals.
Frequently Asked Questions
Fractions are when you have two whole numbers divided by each other. Rational numbers are when you have two integers divided by each other, as long as the bottom number isn't zero. For example, 18/23 is a fraction, and -12/23 is a rational number. Remember, every fraction is a rational number, but not every rational number is a fraction.
A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.
Yes, it is. It is equal to 0
Any number that can be written as a fraction with a non-zero bottom number (denominator) is called a rational number. For example, 1/2, 1/5, and 3/4 are rational numbers. Even the number 0 is rational because we can express it as 0/1, 0/2, or 0/3, and so on. However, fractions like 1/0, 2/0, and 3/0 are not rational because they result in infinite values.