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Fractions, Decimals and Rational Numbers

    Introduction

    Multiplication of Fractions

    Division of Fractions

    Multiplication of Decimal Numbers

    Introduction to Rational numbers

    Exercise 2.1

    Exercise 2.2

    Exercise 2.3

    Exercise 2.4

    Exercise 2.5

    Exercise 2.6

    Exercise 2.7

    Extra Curriculum Support

    Looking Back

    Easy Level Worksheet Questions

    Moderate Level Worksheet Questions

    Hard Level Worksheet Questions

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Fractions, Decimals and Rational Numbers > Introduction

Introduction

Subhash gets invited by his friend Farida to share her snack. She has five apples in her box.

Can you help them divide the apples among them equally?

Please drag and drop the apples in the boxes, first one to Subhash, second one to Farida and so on.

But now we have only one apple.

How do we distribute it?

Click on the left out apple. Now we have cut the apple into two equal parts. Drag each part to the boxes.

Instruction

Subhash
Farida

Subhash knew that one-half is written as 12.

If a full apple contains 4 parts then a half apple is equal to parts.

While eating, he further divided his half into two smaller equal parts and asked Farida what fraction of the whole apple was that one piece?

Without answering, Farida also divided her portion of the half apple into two equal parts and kept them beside Subhash's shares. She said that these four equal parts together make whole apple. half apple into two equal parts and kept them beside Subhash's shares. She said that these four equal parts together make whole apple.

So, each equal part is one-fourth of one whole apple and 4 parts together will be or whole apple.

While they ate, they discussed what they had learnt earlier. Three parts out of 4 equal parts is .

Similarly,37 is obtained when we divide a whole into equal parts and take parts. For 18 , we divide a whole into equal parts and take part out of it.

We have 5 apples divide the apple into equal parts and distribute them between Subhash and Farida.

Subhash got how many apples? and

Farida got how many apples? and

A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects and the multiple parts are all equal.

Proper and Improper Fractions

We have now learnt how to locate fractions on a number line. Now, consider the fractions 34, 12, 910, 03, 58.

Do any one of the fractions lie beyond 1? All these fractions lie to the of 1 on the numberline as they are than 1.

In fact, all the fractions we have learnt so far are less than 1. These are fractions.

A proper fraction as Farida said in the previous section, is a number representing part of a whole. In a proper fraction, the denominator shows the number of parts into which the whole is divided into and the shows the number of parts which have been considered.

Therefore, in a proper fraction the numerator is always than the denominator.