3/7 line between (a) 4/9,5/9 (b) 43/99,4/9 (c) 42/99,4/9 (d) 41/99,41/9
answer with explanation
Answers
Answer:
b is the answer 43/99,4/9
3/9 lie between 42/99 & 4/9 , 3/9 lie between 41/99 & 41/9
Step-by-step explanation:
4/9 = 4*7/(9 *7) = 28/63
5/9 = 5 *7 /(9 * 7) = 35/63
3/7 = 3*9/(7 *9) = 27 /63
27 < 28 < 35
3/9 does not lie between 4/9 & 5/9
43/99 = 43*7/(99 * 7) = 301/(99 * 7)
4/9 = 4 * 11 * 7 /(9 *11 * 7) = 308/(99 * 7)
3/7 = 3*99/(7 * 99) = 297/(99 * 7)
297 < 301 < 308
3/9 does not lie between 43/9 & 4/9
42/99 = 43*7/(99 * 7) = 294/(99 * 7)
4/9 = 4 * 11 * 7 /(9 *11 * 7) = 308/(99 * 7)
3/7 = 3*99/(7 * 99) = 297/(99 * 7)
294 < 297 < 308
3/9 lie between 42/99 & 4/9
41/99 = 41*7/(99 * 7) = 287/(99 * 7)
41/9 = 41 * 11 * 7 /(9 *11 * 7) = 3157/(99 * 7)
3/7 = 3*99/(7 * 99) = 297/(99 * 7)
287 < 297 < 3157
3/9 lie between 41/99 & 41/9
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