Express 0.357 bar on 7 in the form of p/q where p and q integers and q≠0.
Answers
Answered by
132
Let 0.35777777.... be y
y= 0.3577777..... -------- eq. 1
By multiplying both sides with 1000
1000y = 357.777777..... ----- eq.2
By subtracting eq.1 from eq.2
1000y-y = 357.7777... - 0.357777...
999y = 357.42
y = 357.42/999
=5957/16650.
So, 0.357777.. would be written as 5957/16650 in form of p/q .
y= 0.3577777..... -------- eq. 1
By multiplying both sides with 1000
1000y = 357.777777..... ----- eq.2
By subtracting eq.1 from eq.2
1000y-y = 357.7777... - 0.357777...
999y = 357.42
y = 357.42/999
=5957/16650.
So, 0.357777.. would be written as 5957/16650 in form of p/q .
Answered by
26
Answer:
Step-by-step explanation:
Let 0.357 bar on 7 be x
10 X =0.35777... × 10 =3.57777...
10x= 3 + x
10x-x=3
9x=3
X=3/9
X=1/3
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