Question

Express the following in the form, where p and q are integers and q + 0. ​

Answer 1

answer

90/43

Step-by-step explanation:

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

Answer 2

Answer:

23+43/99

3+7/9

18+48/99

Step-by-step explanation:

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