Question

Find five rational numbers between -4/3 and 12/5

Answer 1

$\huge\mathfrak\blue{Answer:}$

Rational Number :

• Rational Numbers are the number that can be written in the form of p/q where p and q are integers and q is not equal to zero.
• For ex : 1/2 , 3/2 , 4/7 , 5/6 etc.

Given:

• Two Rational number (-4/3) and (12/5)

To Find:

• Five rational numbers between ( - 4/3) and (12/5)

Solution:

Let number x = (-4/3) and y = (12/5)

Equating the denominator of two numbers by

Multiplying and dividing by 5 in (-4/3)

And

Multiplying and dividing by 3 in (12/5)

x = $\frac{ - 4}{3} . \frac{5}{5}$

x = ( - 20/15 )

Similarly y = $\frac{12}{5} . \frac{3}{3}$

y = ( 36 / 15 )

Five rational numbers are

( -19/5 ) , ( -18/ 5) , ( -17/5 ) , ( -16/5 ) ,

( -15/5)

Hence the above Five numbers are in between

( - 4/3 ) and ( 12/5 )

Answer 2

$\huge\mathfrak\green{Answer:}$

Rational numbers:

• Rational numbers are the numbers that can be written in the form of p/q where p and q are integers and q is not equal to zero.
• Example: 2/3, 4/5, 7/9 etc.

Given:

• We have been given two rational numbers: -4/3 and 12/5.

To Find:

• We need to find five rational numbers between-4/3 and 12/5.

Solution:

We have been given two rational numbers as -4/3 and 12/5.

Inorder to find five rational numbers between-4/3 and 12/5, we need to multiply by 20 in -4/3 and multiply by 12 in 12/5.

On multiplying by 20 in -4/3, we have

$\sf{ \dfrac{ -4}{3} \times \frac{20}{20}}$

$\sf{ = \dfrac{ - 80}{60}}$

Now, on multiplying by 12 in 12/5, we have

$\sf{\dfrac{12}{5} \times \dfrac{12}{12}}$

$\sf{ = \dfrac{144}{60}}$

Therefore, five rational numbers between -80/60 and 144/60 are:

133/60, 132/60, 131/60, 130/60, 129/60 etc.

Hence, five rational numbers between -4/3 and 12/5 are 133/60, 132/60, 131/60, 130/60, 129/60 etc.