Question

heyya need help !!!​

Answer 1

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Given:

• $\dfrac{-90}{216}$

To Express:

• Rational number with denominator (-72)
• Rational number with numerator (5)

Solution:

$1) Denominator\:as\:(-72)\\\\:\implies \dfrac{-90}{216} = \dfrac{x}{-72}\\\\:\implies \dfrac{(-72\!\!\!\!/^{\:\:1})*(-90\!\!\!\!\!/^{\:\:\:30})}{216\!\!\!\!/_{\:\:\:3\!\!\!/_{\:\:1}}} = x \\\\:\implies x = 30 \\\\\bf{:\implies \dfrac{30}{-72}}$

$2) Numerator\:as\:(5) \\\\:\implies \dfrac{-90}{216} = \dfrac{5}{x} \\\\:\implies x = \dfrac{(5\!\!\!/^1)*(216\!\!\!\!/^{\:\:\:12})}{-90\!\!\!\!/_{\:\:\:-18\!\!\!/_{\:\:-1}}} \\\\:\implies x = -12 \\\\\bf{:\implies \dfrac{5}{-12}}$

Hope it helps!!!