express 0.437 bar 7 in the form of p/q
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Answer:
The value of 0.4\overline7 will be in the form of fraction is 43/90
To find:
\frac {p}{q} = ??
Solution:
Given : We have to express 0.47 (bar on 7) in the form of p/q.
Let us assume that
x = 0.47777
Multiplying both the sides by 10, we get
10x = 4.7777 ---------(1)
Multiplying both the sides by 100, we get
100x = 47.777 ---------(2)
Subtract equation (2) and (1),
100x = 47.777
10x = 4.777
90x = 43.000
x =\frac {43}{90}
Thus, the value of 0.4\overline 7 will be in the form of fraction is 43/90
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