Question

please solve this quickly.In answer sheet its answee is -5/12, 11/4, -3/8.​

Answer 1

Answer:

Step-by-step explanation:

1/3 and 1/2

The first step is to make the denominators equal

This will be done by :- LCM

1/3 and 1/2 ( lcm is equal to 6)

2/6 and 3/6

Now,

We have to find 3 rational numbers .

So,

We will multiply 3+1 = 4 into denominator

So,

2*4/6*4 = 8/24

3*4/6*4 = 12/24

Now,

The rational numbers between 8/24 and 12/24 are

9/24, 10/24 , 11/24

Please mark me as brain list

BY Tolety roshan

Answer 2

Answer:

Step-by-step explanation:

How to find 3 rational number between two numbers

Step-by-step explanation: first make both the numbers a like fraction.

[i.e. both denominators equal] by their LCM.

if there are 3 rational numbers in between them then write it and if not multiply it by 4 [as we want 3 numbers]

write the 3 rational numbers between them.

There are way more than just 3 rational numbers between 1/2 and 3/5. In fact infinitely many.

What you can do to find some?

Get a common denominator (simplest: 10).

then 1/2 = 5/10 and 3/5 = 6/10.

Now you make more space to identify rationals in between:

since you want 3 in between I suggest to extend the fraction to a denominator of 40:

1/2=20/40, 3/5=24/40

then the rational numbers you are looking for are 21/40, 22/40, 23/40

Along the same lines you can actually prove that there are as many rational numbers in between as you ever want (a fact that mathematicians tend to describe by “infinitely many”):

Given any number N, 1/2=(5N)/(10N) and 3/5=(6N)/(10N)

Then the series of fractions: (5N+1)/(10N), (5N+2)/(10N), …. , (6N-1)/(10N) has (N-1) members, all between 1/2 and 3/5. thus making N large you can get as many fractions in between as you ever want.