A number line represents equivalent fractions by showing that different fractions can occupy the same point on the line. For example, the fractions 1/2, 2/4, and 4/8 can all be marked at the same position, indicating they are equivalent. By dividing the line into equal segments, it visually demonstrates how these fractions represent the same portion of the whole. This visual representation helps to clarify the concept of equivalence among fractions.
No
fractions are represented in form of decimals
Models, such as pie charts, number lines, or fraction bars, can visually represent fractions and help illustrate their equivalence. For example, by dividing a pie into different segments, you can show that 1/2 is equivalent to 2/4 by highlighting the same area covered. Similarly, using a number line, you can mark 1/2 and 2/4 at the same point, demonstrating their equality. These visual tools make it easier to understand and create equivalent fractions.
Fractions are represented on a number line by dividing the segment between two whole numbers into equal parts based on the denominator. For example, to represent the fraction 3/4, the segment between 0 and 1 is divided into 4 equal parts, and 3 of those parts are marked. The point that corresponds to the fraction is then indicated on the number line. This visual representation helps illustrate the relative size of fractions compared to whole numbers and other fractions.
To compare fractions, you can divide the number line between 0 and 1 into equal parts based on the denominators of the fractions involved. For example, if you are comparing (\frac{1}{3}) and (\frac{1}{4}), you would divide the number line into 12 equal parts (the least common multiple of 3 and 4) to accurately represent each fraction. This allows you to visualize their relative sizes and determine which is larger or smaller.
Write two fractions that the point on the number line represent
No
Equivalent fractions.
All fractions can be labelled on a number line.
fractions are represented in form of decimals
Integers are positive and/or negative numbers. Fractions are not integers because they are not originally positive or negative. However, they can both be put on a number line and be considered an integer. Fractions aren't integers unless put on a number line. Integers don't have to be on a number line to be considered an integer.
by looking at the denominator
take a no. line
Yes and no. 1/2 can be written 2/4, so the fractions are written differently, but mathematically equivalent. The same is true of any point on a number line. The same point couldn't be 1/2 and 1/3 since these fractions aren't equal.
It will be easier to know what to write
As the denominator increases the fraction will be smaller but there is no limit to how tiny that fraction can be. So between any two numbers on the number line, you can have an infinite number of fractions.
Irrational numbers can be graphed at a number line, but only as an estimation.