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Write each of the following rational numbers in the standard form:
(i) 2/10
(ii) – 8/36
(iii) 4/-16
(iv) -15/-35
(v) 299/-161
(vi) – 63/- 210
(vii) 68/- 119
(viii) – 195/275
(i) The denominator is positive and HCF of 2 and 10 is 2.
Therefore, Dividing the numerator and denominator by 2, we get:
2/10 = 2/2, 10/2 = 1/5
(ii) The denominator is positive and HCF of 8 and 36 is 4.
Therefore, Dividing the numerator and denominator by 4, we get: (- 8)/36
= -8/4, 36/4 = -2/9
(iii) The denominator is negative.
(4x-1)/(-16x-1) = -4/16
HCF of 4 and 16 is 4.
Therefore, Dividing the numerator and denominator by 4, we get: (-4)/4, 16/4
= -1/4
The H.C.F. of -15 and -35 is 5.
Dividing the Nr and Dr of -15/-35 by 5, we get:
The H.C.F. of 299 and -161 is 23.
Dividing the Nr and Dr of 299/-161 by 23, we get:
(vi) - 63/-210
The H.C.F of 63 and 210 is 21.
Dividing the Nr and Dr of -63/-210 by 21, we get:
(vii) 68/-119
The H.C.F. of 68 and 119 is 17.
Dividing the Nr and Dr of 68/-119 by 17, we get
(viii) -195/275
The H. C. F. of 195 and 275 is 5, we get:
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