MULTIPLICATION OF FRACTIONS -
To multiply a fraction by a whole number, we multiply the numerator of the fraction by the whole number and the denominator of the fraction by 1. The first product thus obtained becomes the numerator and the second product becomes the denominator of the required product.
5
Example.1) Multiply ------- by 2
13
5
Ans.) -------- X 2
13
5 2
=> ------ X ------ [Multiply the numerator by 2 and denominator by 1]
13 1
5 X 2
=> ---------- [The proper fraction is the answer here.]
13 X 1
10
=> --------- (Ans.)
13
11
Example.2) Find the product of ------ and 9.
15
Ans.)
11
------- X 9
15
11 9
=> ------- X ------
15 1
[STEP 1: Multiply the numerator of 11/15 by 12 and denominator by 1]
11 X 9
=> ----------
15 X 1
99
=> ------
15
99 ÷ 3
=> --------- [STEP 2: Reduce to lowest term]
15 ÷ 3
33
=> -------
5
R
Q ------
D
[STEP 3: Convert the improper fraction to mixed number as the denominator is smaller than the numerator.]
Reminder
Quotient = ------------
Divisor
3
=> 6 ------ (Ans.)
5
3
Example.3) Find the product of 8 ------ and 6
5
3
Ans.) 8 ------ X 6
5
43
=> ------- X 6 [STEP 1: Convert to improper fractions]
5
43 6
=> ------- X -------
5 1
[STEP 2: Multiply the numerator by 5 and denominator by 1]
43 X 6
=> ----------
5 X 1
258
=> --------
5
[STEP 3: Convert the improper fraction to mixed number as the denominator is smaller than the numerator.]
Reminder
Quotient = ------------
Divisor
3
=> 51 ------ (Ans.)
5
There is a another way of understanding about multiplication of fraction is given below through link -
Multiplication Of Fraction (Other Way)