Page 49 - SM Class 5 Inner.cdr
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2. The product of three or more fractional numbers does not change even if we
change their groups.
1 æ 1 2ö 1 2 2 æ 1 1 ö 2 1 2 2
´ ç ´ ÷ = ´ = = ç ´ ÷ ´ = ´ =
4 è 5 7ø 4 35 140 è 4 5ø 7 20 7 140
3. The product of a rational number and 0 is always 0.
2
a. ´ 0 = 0
15
1 13
b. 3 ´ 0 = ´ 0 = 0
4 4
4. The product of a fractional numbers and 1 is the fractional numbers itself.
7 7 1 7
´
a. ´ 1 = =
27 27 27
2 47 47 1 47 2
´
b. 5 ´ 1 = ´ 1 = = = 5
9 9 9 9 9
5. When the product of two fractions is 1, both are the multiplicative inverse each
other.
3 8
´ = 1
8 3
3 8
Hence and are multiplicative inverse of each other.
8 3
2 3 4
Example 3 : Simplify : ´ ´
3 8 7
´
´
2 3 4 2 3 4 1
To simplify ´ ´ = =
´
´
3 8 7 3 8 7 7
1 1
Example : Simplify : 1 ´ 2
2 3
3 7 7 1
To simplify ´ = = 3
2 3 2 2
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