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Iunit fraction1/2/2023 ![]() ![]() This is because a fraction is the number of shaded parts divided by the number of equal parts. In the examples above, we demonstrated that the value of a fraction is not changed by which sections are shaded. Once again, the value of a fraction is not changed by which sections are shaded. However, both rectangles represent the fraction two-fifths. In example 8, each rectangle is shaded in different sections. The value of a fraction is not changed by which sections are shaded. ![]() However, both circles represent the fraction two-thirds. In example 7, each circle is shaded in different sections. This was done intentionally to demonstrate that any 3 of the 4 equal parts can be shaded to represent the fraction three-fourths. Three sections have been shaded in each rectangle, but not the same three. In example 6, there are four equal parts in each rectangle. In examples 6 through 8, we will identify the fraction represented by the shaded portion of each shape. Every fraction is a multiple of a unit fraction. Each unit fraction is part of one whole (the number 1). Each of these fractions is called a unit fraction.ĭefinition: A unit fraction is a fraction whose numerator is one. The fractions above all have the same numerator. In the example below, rectangles have been shaded to represent different fractions. Remember that a fraction is the number of shaded parts divided by the number of equal parts. For example, we can let a rectangle represent one whole, and then divide it into equal parts as shown below. It is important to note that other shapes besides a circle can be divided in equal parts. When writing a fraction, a hyphen is always used. Thus a ratio names a relationship, whereas, a fraction names a number that represents the part of a whole. However, the fraction 3/4 is written as three-fourths (with a hyphen) because 3 is 3/4 of one whole. We do not know how many students are in the whole class. For example, "The ratio of girls to boys in a class is 3 to 4." This ratio is written a 3 to 4, or 3:4. Why is the number 3/4ths written as three-fourths? We use a hyphen to distinguish a fraction from a ratio. One-fifth Two-fifths Three-fifths Four-fifths We have also written each fraction as a number and using words. ![]() In examples 1 through 4 below, we have identified the numerator and the denominator for each shaded circle. Let's look at some more examples of fractions. Note that the fraction bar means to divide the numerator by the denominator. One of the parts is shaded, giving a numerator of 1. There are four equal parts, giving a denominator of 4. Two of the parts are shaded, giving a numerator of 2. There are three equal parts, giving a denominator of 3. There are two equal parts, giving a denominator of 2. So a fraction is the number of shaded parts divided by the number of equal parts as shown below: The top number of a fraction is called its numerator and the bottom part is its denominator. What Are Fractions? Definition: A fraction names part of a region or part of a group. We can shade a portion of a circle to name a specific part of the whole as shown below. This circle has been divided into 4 equal parts. This circle has been divided into 3 equal parts. This circle has been divided into 2 equal parts. We can divide this circle into equal parts as shown below. The circle to the left can be used to represent one whole. What Are Fractions: Step by Step Lesson with Interactive ExercisesĪ circle is a geometric shape that we have seen in other lessons. ![]()
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