Question

Find the rational numbers between 3/6 and 3/4. and represent on the number line

Answer 1

Answer:

given :-

3/6 and 3/4

here we've to find any three rational numbers between them though they've ∞ rational numbers between them.

so first of all, we needa make the denominators of both rational numbers same

LCM of 6 and 4 = 2 × 2 × 3

= 12

3/6 = (3 × 2)/(6 × 2)

= 6/12

3/4 = (3 × 3)/(4 × 3)

= 9/12

still we don't have enough rational numbers.

let's multiply both the fractions by 2

» 6/12 = (6 × 2)/(12 × 2) = 12/24

» 9/12 = (9 × 2)/(12 × 2) = 18/24

hence, three rational numbers between them are 13/24, 14/24 and 15/24

there are many other rational numbers too.. it's up to u.. you can choose any 3.

Answer 2

Step-by-step explanation:

11:38

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Math 5 points >

Answer:

given :

3/6 and 3/4

here we've to find any three rational numbers between them though they've ∞ rational numbers between them.

so first of all, we needa make the denominators of both rational numbers same

LCM of 6 and 4 = 2 × 2 × 3

= 12

3/6= (3 × 2)/(6 × 2)

= 6/12

3/4 = (3 × 3)/(4 × 3)

= 9/12

still we don't have enough rational numbers.

let's multiply both the fractions by 2

>> 6/12 = (6 × 2)/(12 × 2) = 12/24

>> 9/12 = (9 × 2)/(12 × 2) = 18/24

hence, three rational numbers between them are 13/24, 14/24 and 15/24

there are many other rational numbers it's on to u You can choose any.