Question

When two rational numbers are multiplied, then the product is -21/40. If one number is 14/25, what is the other number?​

Answer 1

Answer:

Product of two numbers=

75

−28

Anyone of the rational numbers=

25

14

∴ the other number=

75

−28

÷

25

14

=

75

−28

×

14

25

=

3

−2

Thus, the required rational number is

3

−2

Answer 2

❤︎ANSWER❤︎

$\color{red}{let \:the \: other \: rational \: be \: x}$

$\color{red}{a.t.q}$

$\color{red}{x \times \frac{14}{25} } = - \frac {21}{40}$

$\color{red}{ \frac{14}{25} }x = \frac{ - 21}{40}$

$\color{red} \frac{25}{14} \times \frac{14}{25} x$

$\color{red}{x = \frac{25}{14} } \times \frac{ - 21}{40}$

$\color{green}{x = \frac{ - 15}{16} }$

$\color{yellow}{so \: the \: other \: rational \: no. \: is \: \frac{ - 15}{16} }$

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