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## Answers

**In order to find a number of rational numbers between two numbers, we need to make the given numbers broader and then find the rational numbers between them.**

**So according to question,**

**We need to first find their LCM and make their denominators equal. Thus, we get :-**

**1/3 can be written as 2/6 and 1/2 an be written as 3/6.**

**Next, we broaden the numbers by multiplying 16/16 to both the numbers :-**

**(2x16)/(6x16) = 32/96 and**

**(3x16)/(6x16) = 48/96.**

**So, we get the rational numbers between 30/90 and 45/90 as :-**

**33/96, 34/96, 35/96, 36/96, 37/96, 38/96, 39/96, 40/96, 41/96, 42/96, 43/96, 44/96, 45/96, 46/96 and 47/96.**

**For plotting these on the number line, draw a 96 unit line and make 95 divisions in it. Now, mark the 33rd division as 33/96, 34th division as 34/96 and so on till 47/96.**

**Hope that helps !!**