Question

by which rational number -3/5 be divided to get -2/3 ?​

Answer 1

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Let the rational number be $x$.

${\sf{ \frac{ - 3}{5} \div x = \frac{ - 2}{3}}} \\ \\ {\implies} {\sf{\frac{ - 3}{5} \times \frac{1}{x} = \frac{ - 2}{3}}} \\ \\ {\implies} {\sf{ \frac{1}{x} = \frac{ - 2}{3} \times \frac{5}{ - 3}}} \\ \\ {\implies} {\sf{ \frac{1}{x} = \frac{10}{9}}} \\ \\ {\implies}{\sf{ x = \frac{9}{10}}} \\ \\ { \therefore} \: {\sf{\red{x = \frac{9}{10}}}}$

So, $\frac{ - 3}{5}$ should be divided by $\frac{ 9}{10}$to get $\frac{ - 2}{3}$.

Answer 2

ANSWER:

• Required rational number = 9/10

GIVEN:

• One rational number = -3/5
• Resultant rational number = -2/3.

TO FIND:

• Other rational number.

SOLUTION:

Let x be another rational number.

$\implies \: \dfrac{ - 3}{5} \div x = \dfrac{ - 2}{3} \\ \\ \implies \: \dfrac{ - 3}{5x} = \dfrac{ - 2}{3} \\ \\ \implies \: 5x \times ( - 2) = ( -3) \times 3 \\ \implies \: - 10x = - 9 \\ \implies \: 10x = 9 \\ \implies \: x = \dfrac{9}{10}$

Required rational number = 9/10

NOTE:

• This type of questions can be solved by first supposing a rational be x or any other variables.
• Then simply it and get the value of variable.