Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.3 pdf notes:-

**Exercise 2.3** Class 7 maths Chapter 2 Pdf Notes:-

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## Ncert Solution for Class 6 Maths Chapter 2 Fractions and decimals Exercise 2.3 Tips:-

**Multiplication of a Fraction by a Fraction**

Farida had a 9 cm long strip of ribbon. She cut this strip into four equal parts. How did she

do it? She folded the strip twice. What fraction of the total length will each part represent?

Each part will be

9

4 of the strip. She took one part and divided it in two equal parts by

This is also shown by the figures drawn below. Each of these five equal shapes

are parts of five similar circles. Take one such shape. To obtain this shape

we first divide a circle in three equal parts. Further divide each of these three parts in

two equal parts. One part out of it is the shape we considered

Value of the Products

You have seen that the product of two whole numbers is bigger than each of

the two whole numbers. For example, 3 Ć 4 = 12 and 12 > 4, 12 > 3. What

happens to the value of the product when we multiply two fractions?

Let us first consider the product of two proper fractions.

You will find that when two proper fractions are multiplied, the product is less

than each of the fractions. Or, we say the value of the product of two proper fractions

is smaller than each of the two fractions.

Check this by constructing five more examples.

Let us now multiply two improper fractions.

We find that the product of two improper fractions is greater than each of the

two fractions.

Or, the value of the product of two improper fractions is more than each of the

two fractions.

Construct five more examples for yourself and verify the above statement.