Question

*If p/2q = 11/5 then p-2q/p+2q = ?*

1️⃣ 3/8
2️⃣ 8/3
3️⃣ 2/9
4️⃣ 9/2​

Answer 1

SOLUTION

GIVEN

$\displaystyle \sf{ \frac{p}{2q} = \frac{11}{5} }$

TO CHOOSE THE CORRECT OPTION

$\displaystyle \sf{ \frac{p - 2q}{p + 2q} = }$

$1. \displaystyle \sf{ \: \: \: \frac{3}{8} }$

$2. \displaystyle \sf{ \: \: \: \frac{8}{3} }$

$3. \displaystyle \sf{ \: \: \: \frac{2}{9} }$

$4. \displaystyle \sf{ \: \: \: \frac{9}{2} }$

EVALUATION

Here it is given that

$\displaystyle \sf{ \frac{p}{2q} = \frac{11}{5} }$

Now

$\displaystyle \sf{ \frac{p - 2q}{p + 2q} }$

$\displaystyle \sf{ = \frac{ \displaystyle \sf{\frac{p}{2q} - 1}}{\displaystyle \sf{ \frac{p}{2q} +1} } }$

( Dividing numerator and denominator both by 2q )

$\displaystyle \sf{ = \frac{ \displaystyle \sf{\frac{11}{5} - 1}}{\displaystyle \sf{ \frac{11}{5} +1} } }$

$\displaystyle \sf{ = \frac{ \displaystyle \sf{\frac{11 - 5}{5} }}{\displaystyle \sf{ \frac{11 + 5}{5}} } }$

$\displaystyle \sf{ = \frac{ \displaystyle \sf{\frac{6}{5} }}{\displaystyle \sf{ \frac{16}{5}} } }$

$\displaystyle \sf{ = \frac{6}{5} \times \frac{5}{16} }$

$\displaystyle \sf{ = \frac{3}{8} }$

FINAL ANSWER

Hence the correct option is

$1. \displaystyle \sf{ \: \: \: \frac{3}{8} }$

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Answer 2

Answer:

1️⃣ 3/ 8

Step-by-step explanation:

hope it helps you