Question

Q1. Find three rational numbers between the following
a)1/9 and 1/13
b)-7/12 and 1/6
c) -3/8 and -5/12​

Answer 1

Step-by-step explanation:

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$1) \: \frac{1}{9} \: and \: \frac{ 1}{13}$

LCM of 9 and 13= 117

$\frac{1}{9} \times \frac{13}{13} = \frac{13}{117} \\ \frac{1}{13} \times \frac{9}{9} = \frac{9}{117}$

$\frac{10}{117} and \: \frac{11}{117} \: and \: \frac{12}{117}$

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• For first part is written.
• Second and Third solutions are in the attachments.
• Refer to the attachments as well.

Answer 2

Answer:

There can be infinite rational numbers between any two numbers even if they ∈ C.

Step-by-step explanation:

[Note : For such questions there can be many approaches]

a) 1/9= 0.111

   1/13= 0.076

Three rational numbers are 0.06,0.05,0.04.

b) As one number is negative and other is positive we can say 0 lies between them.

-7/12= -0.583

1/6 = 0.166

Hence the rational numbers are 0, 0.1 , -0.4.

c) -3/8 = -0.375

   -5/12 = -0.416

The rational numbers are -0.38,-0.39,0.4.