Express 0.1235(bar 35)in the form of p\q
Answers
Answer:
Step-by-step explanation:
Express 1.32 bar[bar is on 32] +0.35bar[bar is on 35] in th form p/q, where p and q are integers and q in not equal to 0.
xpert Answer:
begin mathsize 16px style To space find space 1. top enclose 32 space plus space 0. top enclose 35
first space consider comma
straight x equals 1. top enclose 32
100 straight x equals 132. top enclose 32
100 straight x minus straight x equals 132. top enclose 32 minus 1. top enclose 32
99 straight x equals 131
straight x equals 131 over 99............ left parenthesis straight i right parenthesis
Similarly space you space will space get space 0. top enclose 35 equals 35 over 99............. left parenthesis ii right parenthesis
Adding space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
1. top enclose 32 space plus space 0. top enclose 35 equals 131 over 99 plus 35 over 99
equals 166 over 99
end style
Answer:
Let x=0.1235....
X=0.123535.........
Multiply both with 10^2=100
100x=12.3535
x= 0.1235
--------------------------
99x=12.23
12.23 ×100
X= ----------
99 ×100
1223
X=--------------
990