# Number Names, Fractions and Their Types

Number names make the base of our mathematics journey. Without number names, it would become impossible for teachers and students to communicate in the language of mathematics. We use number names in our everyday activities. Whether we need to count the number of runs scored by any cricket team or we need to count the number of eggs present in our furniture, we need the help of number names. We have been learning them since the very first class of our childhood. It is imperative that every student practicing math master the number names as soon as possible. In this module, we will discuss at length the number names. But before that, let us discuss another important concept of fractions.

**What Do You Mean by Fractions?**

To simply put it in a layman’s language, fractions are the numerical quantities representing a part of the whole. We use fractions almost every day in our life. Example: half a cup of tea, two-thirds glass of milk, three-fourth part of the cake, and so on. Fractions when dealt without the help of practical life scenarios can be difficult to understand for students studying it for the first time. Thus, it is very important that we attach practical life examples while learning fractions. A fraction has two distinct parts namely, the numerator and the denominator. The upper part of the fraction is called its numerator while the lower part of the fraction is called its denominator.

**Various Categories of Fractions**

Fractions can be categorized into various types. Let us get introduced to the different types of fractions with the help of examples:

- Proper Fractions: If in a given fraction the numerator is less than the denominator, those are called proper fractions. Examples of proper fractions are 3/5, 5/16, etc.
- Improper Fractions: Those fractions whose numerator is always greater than the denominator are called improper fractions. The value of improper fractions ranges from 1 to infinity, one is included. Examples of improper fractions are 7/2, 58/4, etc.
- Mixed Fractions: Those fractions that have a natural number plus a proper fraction are known as mixed fractions. They are converted from improper fractions. Examples of mixed fractions are: 6⅔, 23½, etc.
- Like Fractions: Those fractions that have similar denominators are known as fractions. Simplification of like fractions becomes very easy owing to the fact that their denominators are equal. Examples of like fractions are 4/11, 5/11, 36/11, etc.
- Unlike Fractions: Those fractions that do not have similar denominators are known as unlike fractions. The process of simplification of unlike fractions is not straightforward as compared to like fractions. Examples of unlike fractions are 4/11, 34/21, 23/12, etc.
- Equivalent Fractions: Those fractions which upon simplification give us the same value are known as equivalent fractions. Examples of equivalent fractions are 40/80, 1/2, 3/6, etc.
- Unit Fractions: Those fractions which have the value of numerator as one and whose denominator is a positive integer are called unit fractions. Examples of unit fractions are 1/36, 1/43, 1/51, etc.

**Learning to Write the Number Names From 1 to 100**

- It is mandatory to learn the number names from 1 to 10.
- It is also compulsory that you learn the number names, eleven, twelve, and thirteen.
- You will also have to learn the number names of the digits 20, 30, 40, 50, 60, 70, 80, 90, and 100.
- For the digits starting from 14 and ending with 19, you can take the help of step 1 and just add ‘teen’ at the end. However, the alphabet t should not be repeated. Example: 14 can be written as four + teen = fourteen.
- For the digits starting from 21 and ending with 29, you can begin with the word twenty and then add the number name of the first digit in consideration. Example: 23 can be written as twenty + three = twenty-three.
- You can follow the same step till the digit 99 in a similar manner.

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