5 Rational numbers between 1 and 2
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We want 5 rational numbers.
Let's write 1 and 2 as rational numbers with denominator 5 + 1 = 6
Now, we need to multiply both the numerator and denominator with 6
So, 1 becomes (1×6)/(1×6) = 6/6, and
2 becomes (2×6)/(1×6) = 12/6
We know that, 6<7<8<9<10<11<12
So definitely, 6/6<7/6<8/6<9/6<10/6<11/6<12/6
Therefore, the 5 required rational numbers are, 7/6, 8/6, 9/6, 10/6 and 11/6.
Let's write 1 and 2 as rational numbers with denominator 5 + 1 = 6
Now, we need to multiply both the numerator and denominator with 6
So, 1 becomes (1×6)/(1×6) = 6/6, and
2 becomes (2×6)/(1×6) = 12/6
We know that, 6<7<8<9<10<11<12
So definitely, 6/6<7/6<8/6<9/6<10/6<11/6<12/6
Therefore, the 5 required rational numbers are, 7/6, 8/6, 9/6, 10/6 and 11/6.
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