Question

Write three rational numbers between 4/5 and 2/3

Answer 1

Answer:

The three rational numbers between 4/5 and 2/3 are 21/30, 22/30, 23/30

Step-by-step explanation:

4/5 and 2/34/5= 4×3/ 5×3= 12/152/3= 2×5/ 3×5= 10/1512/15 and 10/1512/15= 12×2/ 15×2= 24/3010/15= 10×2/ 15×2= 20/30

Answer 2

Answer: 121/150, 122/150, 123/150

4/5 and 2/3

Before we dive deep into the explanation please keep this rule in mind

rule: When we multiply a number by the denominator of a rational number, we have to multiply the numerator with the same number too, vice versa.

now we have to make the denominators of both the numbers the same, to do that, we find their LCM which is 15 and then we take the first number which is 4/5 and then multiply the numerator and denominator by 3 so that the denominator becomes 15 so we get 12/15.

Now that we got 12/15, we multiply both the numerator and denominator of 2/3 by 5 so we get the denominator as 15, so we get 10/15

now we have 12//15 and 10/15, there is only 1 rational number between them so we multiply the numerator and denominator of both the rational numbers by 10, so we get

120/150 and 100/150

now 3 rational numbers between then are

121/150, 122/150, 123/150

Hope this will help you  ^-^

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