Question

Find six rational numbers between 3/5 and 3/4

Answer 1

Answer:

six rational number are

3/5 × 4= 12/20

3/4 ×5 =15/20

we have to find six rational number between 12/20 and 15/20, so we have to multiply numerator and denominator by 7

12×7= 84

20×7=140

15/20×7=105/140

85 ,86 , 87 ,88 89 90

140, 140, 140, 140, 140 ,140

Answer 2

Answer:

$\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}$

Step-by-step explanation:

To find six rational numbers between the given numbers,

• Check if both rational numbers have the same denominator. If not find the LCM of the denominators.

         LCM of 5 and 4 is 20.

• Find equivalent fractions using the LCM.

            $\sf \dfrac{3}{5}=\dfrac{3*4}{5*4}=\dfrac{12}{20}\\\\\\\dfrac{3}{4}=\dfrac{3*5}{4*5}=\dfrac{15}{20}$

• Now, multiply numerator and the denominator of each of the rational number by 10

            $\sf \dfrac{12*10}{20*10}=\dfrac{120}{200}\\\\\dfrac{15*10}{20*10}=\dfrac{150}{200}$

$\sf \text{six rational numbers between} \ \dfrac{3}{5} \ and \ \dfrac{3}{4}\ are :$

       $\sf \dfrac{121}{200} \ ; \ \dfrac{122}{200} \ ; \ \dfrac{123}{200} \ ; \ \dfrac{124}{200} \ ; \ \dfrac{125}{200} \ ; \ \dfrac{126}{200}$