\(p - \frac{p-1}{2}=1-\frac{p-2}{3} \) then p = ...................p

1.	\(p - \frac{p-1}{2}=1-\frac{p-2}{3} \) then p = ...................p - p-1/2 = 1 - p-2/3 then p = ........................A) 7/5B) 1/2C) 1/4D) 1/9
Answer» Correct option is (A) 7/5 \(p-\frac{p-1}{2}=1-\frac{p-2}{3}\) \(\Rightarrow\) \(p-\frac{p-1}{2}+\frac{p-2}{3}=1\) \(\Rightarrow\) \(\frac{6p-3(p-1)+2(p-2)}{6}=1\) \(\Rightarrow\) 6p - 3p + 3 + 2p - 4 = 6 \(\Rightarrow\) 5p = 6 - 3 + 4 = 7 \(\Rightarrow\) \(p=\frac75.\) Correct option is A) 7/5

\(p - \frac{p-1}{2}=1-\frac{p-2}{3} \) then p = ...................p - p-1/2 = 1 - p-2/3 then p = ........................A) 7/5B) 1/2C) 1/4D) 1/9

Answer»

Correct option is (A) 7/5

\(p-\frac{p-1}{2}=1-\frac{p-2}{3}\)

\(\Rightarrow\) \(p-\frac{p-1}{2}+\frac{p-2}{3}=1\)

\(\Rightarrow\) \(\frac{6p-3(p-1)+2(p-2)}{6}=1\)

\(\Rightarrow\) 6p - 3p + 3 + 2p - 4 = 6

\(\Rightarrow\) 5p = 6 - 3 + 4 = 7

\(\Rightarrow\) \(p=\frac75.\)

Correct option is A) 7/5