10 rational numbers between minus 2/3 and 1/4
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Given numbers -2/3 and 1/ 4.
Rational numbers between 2 numbers a and b is ( a + b) / 2.
Rational numbers between 2 numbers -2/3 and 1/ 4 is
= ( -2/3 + 1/ 4) / 2 = -5 / 24.
rational numbers between 2 numbers -2/3 and -5 / 24 is
= ((-2/3) + (-5 / 24)) / 2 = -21 / 48 = -7 / 16.
rational numbers between 2 numbers -5 / 24 and 1/ 4 is
= ( (-5 / 24) + (1/ 4)) / 2 = 1 / 48.
Similarly do like this.
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To find, 10 rational numbers between -2/3 & 1/4.
S1- Take the LCM. LCM of 3 & 4 is 12.
S2- -2/3×x/x=-2x/12 & 1/4×x/x=x/12
=-2/3×4/4=-8/12 & 1/4×3/3= 3/12
:.Between -8/12 & 3/12
-7/12, -6/12, -5/12, -4/12, -3/12, -2/12, -1/12, 0/12, 1/12, 2/12(ANSWER)
S1- Take the LCM. LCM of 3 & 4 is 12.
S2- -2/3×x/x=-2x/12 & 1/4×x/x=x/12
=-2/3×4/4=-8/12 & 1/4×3/3= 3/12
:.Between -8/12 & 3/12
-7/12, -6/12, -5/12, -4/12, -3/12, -2/12, -1/12, 0/12, 1/12, 2/12(ANSWER)
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