Question

Express the following in pq form , where p and q are integers , q≠ 0
i ) 0.6 ii) 1.47 iii) 3.001

Answer 1

Answer:

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Let x=0.4

7

ˉ

(Mixed recurring decimal)

i.e. x=0.47777…(1)

Multiplying (1) by 10, to make it pure recurring decimal, we get

10x=4.7777…(2)

Further multiplying (2) by 10, we get

100x=47.777….(3)

Subtracting (2) from (3), we get

100x–10x=(47.777…)–(4.7777…)

⇒90x=43

⇒x=

90

43

Thus 0.4

7

ˉ

=

90

43