Mathematics: On dividing both the numerator and the denominator of 20a^2b/5ab^2 by ? the result is 4a/b

( -3,-5) would be it dotted on a coordinate plane...

On dividing both the numerator and the denominator

paco38

12.01.2022

5ab

Step-by-step explanation:

Given rational expression,

$\frac{20a^2b}{5ab^2}$

Let x be the expression by which on dividing both the numerator and the denominator the result is $\frac{4a}{b}$

That is,

$\frac{\frac{20a^2b}{x}}{\frac{5ab^2}{x}}=\frac{4a}{b}$

By comparing numerators,

$\frac{20a^2b}{x}=4a$

20a^2b=4ax ( By cross multiplication )

$\implies x = \frac{20a^2b}{4a}=5a^{2-1}b^2=5ab$

Note : We can get the answer by comparing denominators.

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