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Find a number that is between 7/11 and /0.75



A.77/99




B.76/99




C.25/44




D.23/33


Sagot :

We can multiply the numerator and the denominator of 7/11 by 3, 4 and 9: 7/11 = 21/33 = 28/44 = 63/99. Than we can see that: 25/44 < 21/33 or 25/44 < 7/11 ( C is not correct ). Also: 77/99=0.777...and 76/99=0.7676... Therefore: 0.75 < 77/99 , 0.75 < 76/99. And since: 23/33 = 0.6969...: 7/11 < 23/33 < 0.75. Answer: D ) 23/33