find three rational numbers between: a) 1/8 and 1/12 b) 7/10 and 6/9 c) 2/13 and 3/11 d) 1/7 and 2/7 e) 8/9 and 9/10 f)7/10 and 9/11...
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Answers
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Step-by-step explanation:
a 1/8 and 1/12
first
=(1/8 + 1/12)/2
(1/8 + 1/12)*1/2
find the lcm
24
(3+2/24)*1/2
(5/24)*1/2
5/48
secound
(1/8 + 5/48)/2
(1/8 + 5/48)*1/2
find the lcm
(6/48+5/48)*1/2
11/48*1/2=11/96
third
(1/12 + 11/96)/2
(1/12 + 11/96)*1/2
find the lcm
96
(8/96 +11/96)*1/2
19/96*1/2
19/192
b 7/10 and 6/9
first
( 7/10 + 6/9)/2
( 7/10 + 6/9)*1/2
lcm
(63/90 +60/90)*1/2
123/90*1/2
123/180 it can taken as a smaller part
41/60
secound
(7/10 + 41/60 )/2
(7/10 + 41/60 )*1/2
lcm
(42/60 + 41/60)*1/2
43/60*1/2
43/120
third
(6/9 + 43/120)/2
(6/9 + 43/120)*1/2
lcm
(240/360 + 129/360)*1/2
369 /360 it can taken as a smaller part
41/40
c 2/13 and 3/11
(2/13 + 3/11)/2
(2/13 + 3/11)*1/2
lcm
(22/143 + 39/143)*1/2
61/143*1/2
61/286
second
(2/13 + 61/286)/2
(2/13 + 61/286)*1/2
lcm
(44/286 +61/286)*1/2
105/286*1/2
105/560 it can taken as a smaller part
21/112
third
(3/11 + 21/112)/2
(3/11 + 21/112)*1/2
lcm
(336/1232 +231/1232)*1/2
567/1232*1/2
567/2464
next are also the same way