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Answer:
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Step-by-step explanation:
1)Let the unknown rational number be x
According to the question,14/25 × x = -28/75
⇒x =-28/75 × 25/14
⇒x = -2/3
∴The other rational number = -2/3
2) Let the unknown rational number be x
According to the question,x + (-11/20) = -4/5
⇒x = -4/5 - (-11/20)
⇒x = -16/20 - (-11/20)
⇒x = -16/20 + 11/20 Taking LCM of 5 and 20 = 20
⇒x = -5/20
⇒x = - 1/4
∴The other rational number = - 1/4
3)LHS
x + y = -3/16 + 1/9
= -27/144 + 16 / 144
= -11/144
RHS
y + x = 1/9 + -3/16
= 16 / 144 + ( -27/144 ) Taking LCM OF 16and 9 = 144
= -11/144 = LHS
Thus proved, x + y = y + x
4) Let the unknown number be x
According to the question, x - 1/3 = 5/9
⇒x = 5/9 + 1/3
⇒x = 5/9 + 3/9 Taking LCM of 3 and 9 =9
⇒x = 8/9
∴The other number = 8/9
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