Multiplication Of Fractions

1. How to multiply a fraction with a whole number?

a. If we have to multiply the proper or improper fraction with the whole number then we simply multiply the numerator with that whole number and the denominator will remain the same.

Example :

b. If we have to multiply the mixed fraction with the whole number then first convert it in the form of improper fraction then multiply as above.

Example :

c. Fraction as an operator “ of ”.

If it is written that find the 1/2 of 24 then what does ‘ of ‘ means here?

Here ‘ of ‘ represents the multiplication.

2. How to multiply a fraction with another fraction?

If we have to multiply the proper or improper fraction with another fraction then we simply multiply the numerator of both the fractions and the denominator of both the fractions separately and write them as the new fraction.

Example :

Value of the products of the fractions

Generally when we multiply two numbers then we got the result which is greater than the numbers.

5 \times 6 = 30 where, 30 > 5 and 30 > 6

But in case of a fraction, it is not always like that.

a. The product of two proper fractions

If we multiply two proper fractions then their product will be less than the given fractions.

Example :

b. The product of two improper fractions

If we multiply two improper fractions then their product will be greater than the given fractions.

Example :

c. The product of one proper and one improper fraction

If we multiply proper fraction with the improper fraction then the product will be less than the improper fraction and greater than the proper fraction.

Example :

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