The student sees the fractions as two unrelated whole numbers separated by a line.They conclude that a unit fraction with a greater denominator has a greater value than fractions with a smaller denominator. When given unit fractions, students tend to write fractions in ascending order based on the denominator.This is because they understand fractions as whole numbers. The students draw points using whole numbers rather than fractional parts.What are the common misconceptions of representing fractions on a number line?īelow is the list of some common misconceptions of students when it comes to representing fractions on a number line: In this example, we can see that 3 is the whole number, $\frac$ have the same image when represented in a number line. More so, a fraction denotes the number of pieces of a certain size, such as one-fourth, one-eight, eight-fifths, or three-quarters.Ĭonsider a whole pizza that is cut into 8 equal slices. Hence, we can say that a fraction broke down a whole in an equal number of pieces. Fraction came from the Latin word “fractus,” which means broken. What is a fraction?Ī fraction denotes a portion of a whole. The numbers on a number line increase as we move from left to right and decrease as we move from left to right. The image below is an example of how we can represent counting numbers in a number line. A number line is infinitely extendible in any direction and is usually represented horizontally. What is a number line?Ī number line is a straight line with numbers placed at equal intervals or segments along its length. Furthermore, you will be able to practice and enhance your skills in representing fractions on a number line by answering the worksheets provided at the end of this page and using the resources for this topic. Additionally, you will be able to define equivalent fractions and how we can show the equivalency of fractions on a number line. This lesson will help you understand how different types of fractions are presented on a number line. Worksheets and resources for fractions on a number lineĪfter reading this article, you will be able to define a number line and a fraction.What is the importance of knowing fractions on a number line?.What are the common misconceptions of representing fractions on a number line?.How to show equivalent fractions on a number line?.How to represent fractions on a number line?.
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