Math worksheets for the learning process

If you want to master the subject of mathematics, constant practice of various topics is a must. To ensure that you have the proper grasp of all the topics of the subject, solving worksheets for math is one of the best techniques. Worksheets for math facilitate the stepwise mechanism which enhances the learning process and helps students identify their mistakes. Once they can recognize what their mistakes are, they can work on improving them. Worksheets for math also have visual problems that help in the visualization process of students and make their analyzing and strategic capability high. Take worksheets for math from Cuemath and excel in math.

Fractions

Who hasn’t heard about fractions? We come across the term ‘fractions’ on an everyday basis. The word ‘fraction’ has been derived from the word ‘fractio’ which means ‘to break’. The very first study of the concept of fractions started during the Egyptian civilization where people used it to resolve their mathematical problems like division of supplies, food,  and absence of a bullion currency. Some of the common examples of fractions that we use on an everyday basis are 3/5 of the chocolate cake, 4/6 of the apple pie, 1/3 of the total share, and so on. As you can see from the examples, a fraction has two parts. The upper part of the fraction is called the numerator while the lower part of the fraction is called the denominator. We can represent fractions on the number line easily. Let us now learn about the various types of fractions with the help of some examples.

Various Types of Fractions

• Proper Fractions: Those fractions in which the value of the numerator is smaller than the value of the denominator are called proper fractions. It is very important to note that the values of proper fractions will always be less than 1. Some examples of proper fractions are 31/50, 12/15, 36/37, 14/19, etc.
• Improper Fractions: Those fractions in which the value of the numerator is greater than the value of the denominator are called improper fractions. It is very important to note that the values of proper fractions will always be greater than one. We use the method of conversion to represent improper fractions in the form of mixed fractions. Some examples of improper fractions are 51/32, 15/12, 37/36, 19/14, etc.
• Unit Fractions: Those fractions in which the value of the numerator is always equivalent to one are called unit fractions. We can say that the unit fractions are examples of proper fractions. Some examples of unit fractions are 1/37, 1/34, 1/10, 1/39, etc.
• Equivalent Fractions: Those fractions which give us the same value after the process of simplification are called equivalent fractions. Some examples of equivalent fractions are 3/4, 30/40, 300/400, and 3000/4000. Upon simplification, the value of all the fractions will turn out to be the same i.e. 0.75.
• Like Fractions: Those fractions in which all the denominators have the same value are called fractions. Some examples of like fractions are 12/13, 24/13, 10/13, 11/13, 45/13, etc. We can observe that all the fractions have a common denominator which is 13. Thus, all these fractions come under the category of like fractions.
• Unlike Fractions: Those fractions in which all the denominators have different values are called, unlike fractions. They are exactly the opposite of the like fractions. Some examples of unlike fractions are 13/12, 15/43, 13/41, 78/94, etc. We can observe that all the fractions have different denominators. Thus, we can say that these fractions come under the category of unlike fractions.

If you want to learn more about the concept of fractions and their various types in detail, visit Cuemath.