Question

find 6 rational number between -3/4 & -1/3​

Answer 1

Step-by-step explanation:

Given:-

Two numbers are -3/4 & -1/3

To find:-

Find 6 rational number between -3/4 and -1/3

Solution:-

Given two numbers are -3/4 and -1/3

Required rational numbers = 6

On converting them into like fractions

LCM of the denominators 4 and 3 = 12

-3/4 = (-3/4)×(3/3)

=> (-3×3)/(4×3)

=> -9/12

and

-1/3 = (-1/3)×(4/4)

=> (-1×4)/(3×4)

=> -4/12

The rational numbers between them are

-8/12 , -7/12 , -6/12 , -5/12

(or)

Write the denominator 6+1 = 7(multiple)

(-4/12)×(7/7)

=> (-4×7)/(12×7)

=> -28/84

and

(-9/12)×(7/7)

=>(-9×7)/(12×7)

=> -63/84

The required rational numbers

-29/84 , -30/84 , -31/84 , -32/84, -33/84 , -35/84 , ... ,-62/84

Answer:-

The required rational numbers

-29/84 , -30/84 , -31/84 , -32/84, -33/84 , -35/84 , ... ,-62/84

Answer 2

Step-by-step explanation:

Step-by-step explanation:

Given:-

Two numbers are -3/4 & -1/3

To find:-

Find 6 rational number between -3/4 and -1/3

Solution:-

Given two numbers are -3/4 and -1/3

Required rational numbers = 6

On converting them into like fractions

LCM of the denominators 4 and 3 = 12

-3/4 = (-3/4)×(3/3)

=> (-3×3)/(4×3)

=> -9/12

and

-1/3 = (-1/3)×(4/4)

=> (-1×4)/(3×4)

=> -4/12

The rational numbers between them are

-8/12 , -7/12 , -6/12 , -5/12

(or)

Write the denominator 6+1 = 7(multiple)

(-4/12)×(7/7)

=> (-4×7)/(12×7)

=> -28/84

and

(-9/12)×(7/7)

=>(-9×7)/(12×7)

=> -63/84

The required rational numbers

-29/84 , -30/84 , -31/84 , -32/84, -33/84 , -35/84 , ... ,-62/84

Answer:-

The required rational numbers

-29/84 , -30/84 , -31/84 , -32/84, -33/84 , -35/84 , ... ,-62/84