Question

insert 10 rational numbers between (i) -3/11 and -2/11 (ii) 10/13 and 12/13​

Answer 1

Answer:

$\frac{ - 3}{11} \times \frac{11}{11} = \frac{ - 33}{121}$

$\frac{ - 2}{11} \times \frac{11}{11} = \frac{ - 22}{121}$

So, ten rational numbers between -22/121 and -33/121 are -23/121, -24/121, -25/121, -26/121, -27/121, -28/121, -29/121, -30/121, -31/121 and -32/121, etc.

$\frac{10}{13} \times \frac{11}{11} = \frac{110}{143}$

$\frac{12}{13} \times \frac{11}{11} = \frac{132}{143}$

So, ten rational numbers between 110/143 and 132/143 are 111/143, 112/143, 114/143, 113/143, 115/143, 116/143, 117/143, 118/143, 119/143 and 120/143, etc.

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