Question

fill in the blanks : -3/5 = 6/- - - = _/15

Quality answer ✓​

Answer 1

$\Large{ \underline{ \boxed{ \rm{ \pink{❀Clarification:- }}}}}$

In the first two given rational numbers, we have to find the number which when multiplied by -3 gives the product 6. Here, the number shall be 6 ÷ (-3) = -2. Now, we multiply both numerator and denominator of the given rational number by -2.

Solution.

$\large \dashrightarrow \rm{ \frac{ - 3}{5} = \frac{ (- 3) \times ( - 2)}{5 \times ( - 2)} = \frac{6}{10}}$

To get denominator -15,

$\large \dashrightarrow \rm{ \frac{ - 3}{5} = \frac{( - 3) \times ( - 3)}{5 \times ( - 3)} = \frac{9}{ - 15}}$

$\large \sf{thus, \: \frac{ - 3}{5} = \frac{6}{ - 10} = \frac{9}{ - 15}} \red{(ans)}$

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