Find three ratinol number between _3/4and5/6?
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To finding the rational number between -3/4 and 5/6, firstly find the l.c.m. of 4 and 6
So lcm(4, 6) = 12
So -3/4 = -(3/4)×(3/3) = -9/12
And 5/6 = (5/6)×(2/2) = 10/12
Hence three rational number between -3/4 and 5/6 are 1/12, 2/12 and 3/12
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(3/4)
and
(5/6)
LCM will be 12 therefore no. will become
(3*3/4*3)=9/12. and
(5*2/6*2)=10/12
now to find three rational no we need to make the denominator more greater so that the numerator also become large. so,
(9/12)*(10/10)=90/120
lly
(10/12)*(10/10)=100/120
now we will get three rational no. b/w 90/120 and 100/120 that are
91/120, 92/120, 93/120
and
(5/6)
LCM will be 12 therefore no. will become
(3*3/4*3)=9/12. and
(5*2/6*2)=10/12
now to find three rational no we need to make the denominator more greater so that the numerator also become large. so,
(9/12)*(10/10)=90/120
lly
(10/12)*(10/10)=100/120
now we will get three rational no. b/w 90/120 and 100/120 that are
91/120, 92/120, 93/120
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