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express 0.8+0.7+0.43 in the form of p/q
Answers
Answer:
its easy see it below
Step-by-step explanation:
0.8 bar we can represent like this
0.8+0.08+0.008+0.0008..........
so it is in G.P
so
a = 0.8
r = T2/T1 = 0.08/0.8 = 0.1
S(infinity) = ?
S(infinity) = a/(1-r)
S(infinity) = 0.8/(1-0.1)
S(infinity) = 0.8/0.9
S(infinity) = 8/10/9/10
S(infinity) = 8/10×10/9
S(infinity) = 8/9
0.7 bar we can represent like this
0.7+0.07+0.007+0.0007
so it is in G.P
so
a = 0.7
r = 0.1
S(infinity) = ?
S(infinity) = a/(1-r)
S(infinity) = 0.7/(1-0.1)
S(infinity) = 7/10/9/10
S(infinity) = 7/10×10/9
S(infinity) = 7/9
0.43 barber can represent like this
0.43+0.0043+0.000043.................
so it is in G.P
so
a = 0.43
r = 0.01
S(infinity) = ?
S(infinity) = a/(1-r)
S(infinity) = 0.43/(1-0.01)
S(infinity) = 43/100/99/100
S(infinity) = 43/100×100/99
S(infinity) = 43/99
so
0.8 bar + 0.7 bar + 0.43 bar
= 8/9+7/9+43/99
= (8+7)/9+43/99
= 15/9+43/99
= (15×11)/99
= 165/99
so your answer is 165/99
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