Page 48 - SM Class 5 Inner.cdr

+
3 3 3 ( 3 3 3) 9
+
Similarly, + + = =
14 14 14 14 14
3 3 9
3 times = 3 ´ =
14 14 14

1
of 6 means 2
3

1 1 1 1 1 1 1
or, of 6 = + + + + +
3 3 3 3 3 3 3
+
+
+
+
+
(1 1 1 1 1 1 )
=
3
6
=
3
= 2

1 1
of 6 = ´ 6 = 2, the shaded portion.
3 3

Multiplication of a fraction and a whole num ber

Numeratorof fraction Whole number
= ×
Denominatorof fraction 1

Hence we conclude that, to multiply a fractional number by a whole number we
multiply the numerator of the fractional number by the whole number and the

denominator of the fractional number by 1. The first product thus obtained is the
numerator and the second product is the denominator of the required product.

Properties of Multiplication of Fractional Numbers

1. The product of two rational numbers does not change even if we change the
order of the multiplication.

´
1 2 1 2 2
a. ´ = =
7 9 7 9 63
´
2 1 2 1 2
´
and ´ = =
´
9 7 9 7 63
1 2 16 58 16 58 928
´
Similarly, b. 3 ´ 8 = ´ = =
´
5 7 5 7 5 7 35
´
2 1 58 16 58 16 928
and 8 ´ 3 = ´ = =
´
7 5 7 5 7 5 35

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