Question

If the rational numbers -2/3 and 4/x represent a pair of equivalent rational numbers, then value of x is *​

Answer 1

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$\frac{ - 2}{3} \times \frac{ - 2}{ - 2} = \frac{4}{ - 6}$

$x = - 6$

Answer 2

Given,

-2/3 and 4/x are equivalent rational numbers.

To find,

The value of x.

Solution,

The equivalent fractions are defined as the fractions which can have different numerators and denominators, but the value represented by them is the same.

Equivalent fractions are found by multiplying both the numerator and denominator of a given fraction by the same number.

Here, the equivalent fractions given are,

$\frac{-2}{3}$ and $\frac{4}{x}$

It can be seen that to obtain the numerator as 4, we need to multiply the actual fraction

$\frac{-2}{3}$ by -2.

But to get an equivalent fraction, we have to multiply the denominator also by the same number that is -2. So, we get,

$\frac{-2}{3} \times\frac{-2}{-2} =\frac{4}{-6} .$

Therefore, the value of x for the given pair of equivalent fractions will be -6.