Question

Find one thousand rational numbers between -5/17 and 8/17
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Answer 1

Given rational numbers -5/17 and 8/17

here, we've to find one thousand rational numbers between these two fractions.

we know that there are infinity rational numbers between two numbers.

so first of all, we have to see if the denominator of both the rational number is same or not.

here it's same. both the denominators are 17.

since we've to find one thousand rational numbers between them. multiply both the fractions by 1000.

» (-5 × 1000)/(17 × 1000) = -5000/17000

» (8 × 1000)/(17 × 1000) = 8000/17000

rational numbers between them are :- - -4999/17000, -4998/17000, -4997/17000 … 7999/17000.

you can choose any thousand.

Answer 2

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Given :-

Two rational numbers are -5/17 and 8/17.

To Find :-

Thousand rational numbers between -5/17 and 8/17

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Solution :-

Multiply 1000 by both rational number.

» (-5 * 1000)/(17 * 1000) and (8 * 1000)/(17 * 1000)

» -5000/17000 and 8000/17000

» Now, you can take any thousand rational number.

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