Question

find two rational numbers between 1 by 3 and 1 by 2 with steps
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Answer 1

Answer:

1) Find a common denominator. It’s easier to find the rational number(s) you’re looking for if we have a large denominator, so for the sake of this experiment we’ll use 60 .

2) Extend the fractions so they have the same common denominator.

1/2 × 30 = 30/60 1/3 × 20 = 20/60

3) Pick any number between the two nominators and use the same denominator - that’s a rational number between 1/2 and 1/3 .

Example solutions:

21/60, 22/60 = 11/30, 23/60 , etc.

If you need more than 9 solutions, just increase the common denominator.

You can also use this with a larger common nominator. For example,

1/2 × 10 = 10/20 1/3 × 10 = 10/30

This means that all numbers between 10/21 and 10/29 (inclusive) are also rational numbers between 12 and 13 .