__Multiplying Fractions by Whole Numbers:__

- When any fractions either proper or improper are multiplied with a whole number, the numerators are multiplied with whole number and the denominator will remains the same.
- In generalise form, fraction and whole number ‘c’

of c =

**Example**

Find:

of 6

**Explanation**

In this question ‘of’ means to multiply

When any fractions either proper or improper are multiplied with a whole number, the numerators are multiplied with whole number and the denominator will remains the same.

So, of 6

=

=

HCF of 18 and 12 is 6

Since, both numerator and denominator are divide by their HCF i.e,

=

So, the answer is

__Multiplying Fractions by Fractions:__

- When any fractions either proper or improper are multiplied, the numerators are multiplied with each other and the denominators are multiplied with each other.
- Product of Fractions =
- In generalise form, for any two fractions and

=

**Example**

Find the product of

**Explanation**

Product of Fractions =

= =

Hence, product of =

### Multiplying Mixed Fractions with Fractions

- When a mixed fraction is multiplied by a proper or improper fraction, convert mixed fraction into improper fraction and then multiply them.

**Example**

Find

**Explanation**

In order to multiply a Mixed Fraction with a Improper/ Proper Fraction, we first convert mixed Fraction into Improper Fraction , and then multiply it with the Improper/Proper Fraction

Converting Mixed Fraction into an Improper Fraction =

=

=

Multiplying the Improper Fraction obtained by conversion of Mixed Fraction, with given Fraction

==

Converting the result into Simplest form

HCF of 24 and 14 is 2

=

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