Express 0.47 bar in the form of p/q, where p and q are integers and q≠0
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Answered by
1
Answer:
Multiplying by 10 both sides,we get
10x=4.7777…eq(ii)
Multiplying again by 10 both sides,we get
100x=47.7777…eq(iii)
On subtraction eq.(ii) from eq.(iii),we get
(100x-10x)=(47.7777…)-(4.7777)
= 90x = 43 = x = 43/90
hence,0.47=43/90
Answered by
8
Answer:43/90
Explanation:
Let x = bar0.47, x = 0.47777. (a)
We need to mulgiply both sides by 10 to get 10x = 4.7777. (b)
We need to subtract (a) from (b) to get
10x=4.7777.
- x=0.4777.
=9x=4.3
We can also write 9x = 4.3 as x = 4.3/9 or x = 43/90.
Therefore, on converting bar 0.47 in the p/q form,,we get the answer as 43/90.
Explanation:
Let x = bar0.47, x = 0.47777. (a)
We need to mulgiply both sides by 10 to get 10x = 4.7777. (b)
We need to subtract (a) from (b) to get
10x=4.7777.
- x=0.4777.
=9x=4.3
We can also write 9x = 4.3 as x = 4.3/9 or x = 43/90.
Therefore, on converting bar 0.47 in the p/q form,,we get the answer as 43/90.
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