Yes because the zeroes on 200 and 300 cancel. One way of testing this would be to divide 200 by 300, and you get the same answer as when you divide 2 by 3.
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It is: 2/3 of 300 is 200
2/3 of 300 is 200.
81/100 = 162/200 and 243/300
10/30, 100/300, 100000/300000
4/6, 6/9 , 8/12, 10/15, 200/300