Insert
any
10 rational numbers between 1/2and 1 by using equal denominator method do the same by using mean
method
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Answer:
1/2 = 1 × 3 / 2 × 3 = 3/ 6
1/3 = 1 × 2 / 3 × 2 = 2 / 6
To insert 10 rational numbers, multiply the numerator and Denominator by 11.
3 /6 = 3 × 11 / 6 × 11 = 33 / 66
2 / 6 = 2 × 11 / 6 × 11 = 22 / 66
10 rational numbers between 1/2 and 1/3 are 23 / 66, 24 /66 , 25/66, 26, 66, 27/66, 28/66, 29 /66, 30 /66, 31 /66 and 32 /66
Step-by-step explanation:
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1/2 1
Or 11/22, 22/22
Numbers between 1&1/2 are
12/22,13/22,14/22,15/22,16/22,17/22,18/22,19/22 ,20/22,21/22
Other method
(1/2+1)/2 =3/4
(3/4+1)/2 =7/8 , (1/2+3/4 )/2 =5/8
(1+7/8)/2=15/16 , (1+5/8)/2 = 13/16
(1/2+7/8)/2 = 11/16 ,(1/2+5/8)/2 =9/16
(1+11/16)/2 27/32 , (1+9/16)/2 25/32
(3/4+25/32)/2 =49/64
Or 11/22, 22/22
Numbers between 1&1/2 are
12/22,13/22,14/22,15/22,16/22,17/22,18/22,19/22 ,20/22,21/22
Other method
(1/2+1)/2 =3/4
(3/4+1)/2 =7/8 , (1/2+3/4 )/2 =5/8
(1+7/8)/2=15/16 , (1+5/8)/2 = 13/16
(1/2+7/8)/2 = 11/16 ,(1/2+5/8)/2 =9/16
(1+11/16)/2 27/32 , (1+9/16)/2 25/32
(3/4+25/32)/2 =49/64
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