Types of Fraction: A fraction is a part of any quantity out of the whole quantity, where the whole quantity can be any number, a specific value, or a thing. Each and every quantity that comes in our day to day measurements cannot be an absolute whole number. Therefore, we will have to deal with parts of a whole or portions of a whole or fractions.
A fraction consists of two parts, the numerator at the top, and the denominator at the bottom. This article discusses different types of fractions such as proper and improper fractions, mixed fractions, equivalent fractions, like and unlike fractions.
Let us first understand what are fractions. We can understand fractions with an example. Suppose, we have a large cake and we cut the cake into 8 equal slices. The top part of the fraction is called the numerator and the bottom part is the denominator.
In this example, 1 is the numerator and 8 is the denominator. We do not always deal with whole objects in our day-to-day life. Sometimes, we have to deal with parts or portions of whole objects. To quantify them, we need fractions. The other three types of fractions are like fractions, unlike fractions, and equivalent fractions.
Here are definitions and examples of each type:. Equivalent fractions: A group of two or more fractions that, when simplified, represent the same value. When you can decide whether a fraction is improper, proper, or mixed, you can determine if its quotient will be greater, less than, or equal to 1. Furthermore, you can group fractions based on their similarities or dissimilarities by determining if they are like, unlike, or equivalent fractions. To use the site, please enable JavaScript in your browser and reload the page.
When the number of parts is larger than a whole, a fraction can be written in two ways. This is also called an improper fraction. This fraction is less than one whole. The number of equal parts being counted, the numerator, is smaller than the number of parts in the whole, the denominator. In 4th grade fractions worksheet we will circle the like fractions, circle the greatest fraction, arrange the fractions in descending order, arrange the fractions in ascending order, addition of like fractions and subtraction of like fractions.
We will discuss here how to arrange the fractions in ascending order. Solved examples for arranging in ascending order: 1. First we find the L. In comparison of unlike fractions, we change the unlike fractions to like fractions and then compare. To compare two fractions with different numerators and different denominators, we multiply by a number to convert them to like fractions. Let us consider some of the. Any two like fractions can be compared by comparing their numerators.
In comparison of like fractions here are some. The fractions with the same denominators are called. In worksheet on equivalent fractions, all grade students can practice the questions on equivalent fractions. This exercise sheet on equivalent fractions can be practiced by the students to get more ideas to change the fractions into equivalent fractions. We will discuss here about verification of equivalent fractions.
To verify that two fractions are equivalent or not, we multiply the numerator of one fraction by the denominator of the other fraction. Similarly, we multiply the denominator of one fraction by the numerator. Equivalent fractions are the fractions having the same value. An equivalent fraction of a given fraction can be obtained by multiplying its numerator and denominator by the same number. In 5th Grade Fractions Worksheets we will solve how to compare two fractions, comparing mixed fractions, addition of like fractions, addition of unlike fractions, addition of mixed fractions, word problems on addition of fractions, subtraction of like fractions.
Here we will learn Reciprocal of a fraction. To divide a fraction or a whole number by a fraction or a whole number, we multiply the reciprocal of the divisor. Here we will learn fraction of a fraction. Let us look at the picture of a chocolate bar. The chocolate bar has 6 parts in it. To multiply two or more fractions, we multiply the numerators of given fractions to find the new numerator of the product and multiply the denominators to get the denominator of the product.
To multiply a fraction by a whole number, we multiply the numerator of the fraction. To subtract unlike fractions, we first convert them into like fractions.
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