express the following decimal numbers in p/q form 0.4=
Answers
Step-by-step explanation:
we have to express 0.
6
ˉ
in
q
p
from
Let x=0.
6
ˉ
=0.6666....(1)
Multiplying equation (1) with 10
10x=10×(0.6666.....)
10x=0.6666.....(2)
Subtract (2) from(1) i.e. (2)−(1)
10X−X=6.666.....−0.6666...
9x=6 ⇒ x=
3
2
Thus, 0.
6
ˉ
=2/3
(ii) 0.
47
ˉ
=x=0.47777....(1)
Multiplying equation (1) both 10
10x=10x(0.4777...)
10x=4.777....−−−(2)
Subtract (2) from (1) i.e., (2)−(1)
10x−x=4.777..−0.4777...
9x=4.3000
x=
90
43
=0.
47
ˉ
(iii) x=0.
001
ˉ
=0.001001.....(1)
Multiplying equilibrium (1) with 1000
1000x=1000x(0.001001.....)
1000x=1.001001....(2)
Subtract 92) from (1) i.e., (2)−(1)
1000x−x=1.001001....−0.001001...
999x=1
x=
999
1
(iv) x=0.
26
ˉ
=0.2666...−−(1)
Multiplying equation (1) with 10
10x=10x(0.2666...)
10x=2.666...−−(20
Subtract (2) from (1) i.e., (2)−(1)
9x=2.4
x=
9
2.4
=
3×10
8
=
6
4
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Answer:
25/100 by using its decimal fraction.
Step-by-step explanation: