Question

If a /b=p/q, then (a + b)/b= b/(a+d)

Answer 1

If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

What is Componendo Property of fractions?

Let a, b, c, d be the four numbers, then

if a : b = c : d then (a + b) : b :: (c + d) : d.

If a : b :: c : d then (a - b) : b :: (c - d) : d.

Given equation,

$\Rightarrow \frac{a}{b}=\frac{p}{q}$

Adding 1 on both sides of the equation, we get

$&\Rightarrow \frac{a}{b}+1=\frac{p}{q}+1$

$&\Rightarrow \frac{a+b}{b}=\frac{p+q}{q}$

This rule exists also comprehended as the Componendo property of fractions.

Therefore, $\frac{a+b}{b}=\frac{p+q}{q}$ then a = pb + q but the hypothesis says that

a = (p+b) / q.

If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

To learn more about the Componendo property of fractions refer to:

brainly.com/question/2933117

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