4 years ago

What is the equivalent fraction for 5/6 3/8

Mathematics

1 answer:

Serga [27]4 years ago

3 0

5/6 is equal to 10/12 and 3/8 is equivalent to 6/16

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Rufina [12.5K]

ANSWER

$( \frac{f}{g} )(x ) = \frac{x - 3}{x} \: where \: \: x \ne0, - \frac{1}{2}$

EXPLANATION

Given:

$f(x) = 2 {x}^{2} - 5x - 3$

and

$g(x) = 2 {x}^{2} + x$

Then,

$( \frac{f}{g} )(x ) = \frac{f(x)}{g(x)}$

Substitute the given functions;

$( \frac{f}{g} )(x ) = \frac{2 {x}^{2} - 5x - 3}{2 {x}^{2} + x}$

Factor

$( \frac{f}{g} )(x ) = \frac{2 {x}^{2} - 6x + x - 3 }{x(2x + 1)}$

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$( \frac{f}{g} )(x ) = \frac{(2x + 1)(x - 3) }{x(2x + 1)}$

Cancel the common factors.

$( \frac{f}{g} )(x ) = \frac{x - 3}{x} \: where \: \: x \ne0, - \frac{1}{2}$

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3 years ago