Why do you divide fractions?
When you’ve got the same denominator, there’s no need to find the reciprocal or multiply. You can simply divide your fractions to get the answer. The denominators will cancel each other out and give you one. Any fraction with a denominator of one can be simplified to just the numerator.
What are fractions strips?
Fraction strips (or fraction bars or tiles) help students see that the same “whole” can be broken up into different equal-size parts. When students move the strips and put them side by side, they can visualize the fractional amounts.
What is the most universal visual representation of fractions?
However, the most universal visual representation is the array. In particular, it is best to use the area form of the array, as shown on the right, for the whole number example 4 by 6. When multiplying fractions using the array model, there are two basic forms: one factor is a fraction or both factors are fractions.
How do you represent a fraction?
Another common way to represent a fraction visually is to use an area model. In an area model, a shape (often a circle or rectangle) is divided into a number of equal sections. The total number of sections is equal to the denominator of the fraction. The numerator of the fraction tells you how many of the sections should be shaded.
What is the best way to represent multiplication and Division?
It is possible to use the set, length or number line models for some situations involving multiplication or division of fractions. However, the most universal visual representation is the array. In particular, it is best to use the area form of the array, as shown on the right, for the whole number example 4 by 6.
What is the fraction represented here in a linear model?
Check out this example appearing here: In this linear model, the green line is five units long and the whole number line is 8 units long, so the fraction represented here is 5/8. One advantage of using linear models is that, with a linear model, you can easily identify fractions that are equivalent (like 1/2, 2/4, and 4/8).