Express 0.4 (bar on 4) + 0.18 (bar on 8) in the form of p/q
Answers
Answer:
62.7/99
Step-by-step explanation:
0.4444... + 0.1888...
0.4444.... lets express this as p/q
x = 0.444....
10x = 4.444...
10x = 4.444...
-x = 0.444...
9x = 4
x = 4/9
y = 0.1888...
100y = 18.8888....
100y = 18.888...
-y = 0.1888..
99y = 18.7
y= 18.7/99
LCM of 9 and 99 is 99
SO, 4/9 = 44/99
44/99 + 18.7/99
=62.7/99
Answer:
Given : 0.4 bar +0.18 bar , 0.\overline {4}0.
4
+ 0.\overline {18}0.
18
To find : Express in p/q form
Solution:
0.4 bar +0.18 bar
= A + B
A = 0.4 bar = 0.\overline {4}0.
4
B = 0.18 bar = 0.\overline {18}0.
18
A = 0.\overline {4}0.
4
10A = 4.\overline {4}4.
4
9A = 4
=> A = 4/9
B = 0.\overline {18}0.
18
100B = 18.\overline {18}18.
18
=> 99B = 18
=> B = 18/99
=> B = 2/11
4/9 + 2/11
= ( 44 + 18)/99
= 62/99
0.\overline {4}0.
4
+ 0.\overline {18}0.
18
= 62/99