find three rational numbers between 1/3 and 1/ 2
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first we need to find out the LCM of both the denominators 3 and 2.
LCM of 3 and 2 = 6
so, on converting 1 /3 and 1/2 into equivalent rational numbers with denominators 6, we get
1/3 = 1×2 /3×2 = 2/6
1/2 = 1×3/ 2 ×3 = 3/6
since there arent 3 rational numbers between 2 and 3 , therefore we further multiply both the numerator and denominator by the same number.
2×4/6×4= 8/24
and, 3×4/6×4 = 12/24
the three rational numbers between 8 and 12 are 9, 10 and 11
HENCE, THREE RATIONAL NUMBERS BETWEEN 1/3 AND 1 /2 ARE 9/24, 10/24, AND 11/24.
HOPE THIS HELPS U
HAVE A GREAT DAY
LCM of 3 and 2 = 6
so, on converting 1 /3 and 1/2 into equivalent rational numbers with denominators 6, we get
1/3 = 1×2 /3×2 = 2/6
1/2 = 1×3/ 2 ×3 = 3/6
since there arent 3 rational numbers between 2 and 3 , therefore we further multiply both the numerator and denominator by the same number.
2×4/6×4= 8/24
and, 3×4/6×4 = 12/24
the three rational numbers between 8 and 12 are 9, 10 and 11
HENCE, THREE RATIONAL NUMBERS BETWEEN 1/3 AND 1 /2 ARE 9/24, 10/24, AND 11/24.
HOPE THIS HELPS U
HAVE A GREAT DAY
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