# list four rational numbers between 5/6 and 7/8.

$\frac{5}{6}=\frac{20}{24}=\frac{100}{120}\phantom{\rule{0ex}{0ex}}\frac{7}{8}=\frac{21}{24}=\frac{105}{120}$

So four rational numbers between them can be
101/120, 102/120, 103/120 and 104/120

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5/4 and 7/8

LCM=24 (as different denominators)

so, 20/24 and 21/24

= 20 * 5/24* 5 and 21 * 5/ 24 * 5

= 100/120 , 101/120 , 102/120 , 103/120 , 104/120 , 105/120

= (lowest term) therefore, 4 numbers between 5/6 and 7/8 are 101/120 , 17/20 , 103/120 , 26/30

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