130,166 views
33 votes
33 votes
Find 6 rational numbers between 3 and 4.​

User Kirbies
by
3.0k points

2 Answers

17 votes
17 votes

Answer:


(3 * 10)/(1 * 10)

And


(4 * 10)/(1 * 10)


= (30)/(10) \: and \: (40)/(10)


(31)/(10) (32)/(10) (33)/(10) (34)/(10) (35)/(10) \: and \: (36)/(10)

Explanation:

these are the six rational numbers between 3 and 4

User Iquestionshard
by
3.1k points
21 votes
21 votes

Answer:


(37)/(12), (19)/(6), (13)/(4), (10)/(3), (41)/(12), (7)/(2)

Explanation:

Write 3 and 4 as rational numbers with a common denominator.

Common denominator = common multiple = 12


\implies 3=(3 * 12)/(12)=(36)/(12)


\implies 4=(4 * 12)/(12)=(48)/(12)

Therefore, the rational numbers between them with a denominator of 12 are:


(37)/(12), (38)/(12), (39)/(12), (40)/(12), (41)/(12), (42)/(12), (43)/(12), (44)/(12), (45)/(12), (46)/(12), (47)/(12)

Reduced to their simplest form:


(37)/(12), (19)/(6), (13)/(4), (10)/(3), (41)/(12), (7)/(2), (43)/(12), (11)/(3)(15)/(4), (23)/(6), (47)/(12)

**There are many, many more rational numbers between 3 and 4 that we could find by changing the denominator**

User TownCube
by
2.9k points