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Question

Multiply and reduce to lowest form and convert into a mixed fraction:

(i) 7×35 (ii) 4×13
(iii) 2×67 (iv) 5×29

(v) 23×4 (vi) 52×6
(vii) 11×47 (viii) 20×45
(ix) 13×13 (x) 15×35

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Solution

The rule of multiplication of a fraction (pq) and an integer(z) is p×(z)q.......(i)
i.e., multiplication of numerator and an integer, divided by same denominator
(i) Given 7×35
7×35=7×35
=215
=415

7×35=415

(ii) Given 4×13
4×13=4×13
=43
=113
4×13=113

(iii) Given 2×67
2×67=2×67
=127
=157
2×67=157

(iv) Given 5×29

5×29=5×29
=109
=119
5×29=119
(v) Given 4×23
4×23=4×23
=83
=223
4×29=223

(vi) Given 52×6
Here 6=2×3
52×6=52×(2×3)
=5×3 [2 got cancelled]
52×6=15

(vii) Given 11×47
11×47=11×47
=447
=627
11×47=627

(viii) Given 20×45
Here, 20=4×5
45×20=45×(4×5)
=4×4 [5 got cancelled]
45×20=16

(ix) Given 13×13

13×13=13×13
=133
=413
13×13=413

(x) Given 15×35
Here, 15=5×3
35×15=35×(5×3)
=3×3 [5 got cancelled]
15×35=9


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