If a/b = 5/4, Then (4a + 3b) / (4a - 3b) = ?

Answer/Solution

Steps/Work

Answer
Dividing numerator as well as denominator by b, we get
Given Exp. = (4a + 3b) / (4a - 3b) = (4a/b + 3) / (4a/b - 3)
Since a/b = 5/4
this implies that
=[(4*5)/4 +3]/[(4*5)/4 -3)]
= (5+ 3) / (5 - 3)
= 4
Option: E

General Calculator / Auto Solver

If a / b = / , then ( a + b ) / ( a - b ) =?

Calculated Answer

Step by Step Solution

In order to solve problem, you must evaluate (n₀ * n₁ + n₁ * n₃) / (n₀ * n₁ - n₁ * n₃).

n₀ =	5
n₁ =	4
n₂ =	4
n₃ =	3
n₄ =	4
n₅ =	3

(n₀ * n₁ + n₁ * n₃) / (n₀ * n₁ - n₁ * n₃)
Evaluate n₀ * n₁ = 20
(20 + n₁ * n₃) / (n₀ * n₁ - n₁ * n₃)
Evaluate n₁ * n₃ = 12
(20 + 12) / (n₀ * n₁ - n₁ * n₃)
Evaluate 20 + 12 = 32
32 / (n₀ * n₁ - n₁ * n₃)
Evaluate n₀ * n₁ = 20
32 / (20 - n₁ * n₃)
Evaluate n₁ * n₃ = 12
32 / (20 - 12)
Evaluate 20 - 12 = 8
32 / 8
Evaluate 32 / 8 = 4
4
The answer to the problem and the result of (n₀ * n₁ + n₁ * n₃) / (n₀ * n₁ - n₁ * n₃) is 4

Quiz

Answer/Solution

Steps/Work

General Calculator / Auto Solver

Calculated Answer

Step by Step Solution