Question

Express (169/-294) as a rational number with denominator:

(i) 14

(ii) -7

(iii) -49

(iv) 1470

Answer 1

(i) Given (169/-294)

To get denominator 14 we have to divide both numerator and denominator by -21

Then we get, (169/-294) ÷ (-21/-21)

= (-8/14)

Therefore (169/-294) as a rational number with denominator 14 is (-8/14)

(ii) Given (169/-294)

To get denominator -7 we have to divide both numerator and denominator by 42

Then we get, (169/-294) ÷ (42/42)

= (4/-7)

Therefore (169/-294) as a rational number with denominator -7 is (4/-7)

(iii) Given (169/-294)

To get denominator -49 we have to divide both numerator and denominator by 6

Then we get, (169/-294) ÷ (6/6)

= (28/-49)

Therefore (169/-294) as a rational number with denominator -49 is (28/-49)

(iv) Given (169/-294)

To get denominator 1470 we have to multiply both numerator and denominator by -5

Then we get, (169/-294) × (-5/-5)

= (-840/1470)

Therefore (169/-294) as a rational number with denominator 1470 is (-840/1470)