Maths - fractions ppt for understanding fractions

fractions

1. Maths FRACTIONS STD. VI

2. Definition of Fraction Definition 1: A fraction represents a numerical value, which defines the parts of a whole. Definition 2: A fraction is a number that represents a part of a whole.

3. Parts of Fraction The fractions include two parts, numerator and denominator. Numerator : It is the upper part of the fraction, that represents the sections of the fraction Denominator : It is the lower or bottom part that represents the total parts in which the fraction is divided.

4. Types of Fraction there are in total six types of fractions, The first three fractions are defined for a single fraction but the other three fractions, determine the comparison between two or more fractions. Proper fraction Improper fraction Mixed fraction Like fractions Unlike fractions Equivalent fractions

5. Proper Fraction A fraction where the numerator is less than the denominator, then it is known as a proper fraction. i.e., Numerator < Denominator

6. Improper Fraction A fraction where the numerator is greater than the denominator, then it is known as an improper fraction. i.e., Numerator > Denominator All the natural numbers can be represented in the form of fractions, where the denominator is always equal to 1. The simplification of improper fraction results in the value which is equal or greater than 1, but not less than 1.

7. Mixed Fraction A mixed fraction is the combination of a natural number and fraction. It is basically an improper fraction. Mixed fractions can always be converted into a fraction. An improper fraction can be converted into a mixed fraction. A mixed fraction is always greater than 1.

8. Unit Fractions A fraction with 1 as a numerator is known as Unit Fraction.

9. Like Fractions The fractions which have the same denominators are called like fractions. For example, 1/4, 2/4, 3/4 are like fractions. The simplification of such fractions is easy, as all the denominators here are the same. Suppose we need to add all the above like fractions, then; 1/2 + 3/2 + 5/2 + 7/2 = (1+3+5+7)/2 = 16/2 = 8

10. Unlike Fractions The fractions which have unequal denominators or different denominators are called, unlike fractions. For example, 1/2, 2/3, 3/4 are unlike fractions.

11. Equivalent Fractions When two or more fractions have the same result after simplification for which they represent the same portion of the whole, then such fractions are equal to each other and are called equivalent fractions. For example, 1/2 and 2/4 are equivalent. 1/3 and 3/9 are equivalent.

12. Thank you