Question

help me plz! its urgent​

Answer 1

Answer:

1.) 26/39;27/30;8/30;29/30

Answer 2

Part 1) 4 rational numbers between 1/5 and 6/5.

→ As the denominators are equal, we need not do any calculations.  

4 rational numbers between 1/5 and 6/5 are  

2/5, 3/5, 4/5, 5/5 [1]*

* 5/5 can be written as 1 as it is a complete whole.

Part 2) 3 rational numbers between 1/6 and 1/3.

→ As the denominators are unequal, we need to equivalize the denominators by finding the LCM.

LCM of 6 and 3 = 6

So, $\sf{\dfrac{1}{6}\times\dfrac{1}{1}=\dfrac{1}{6}}$

$\sf{\dfrac{1}{3}\times\dfrac{2}{2}=\dfrac{2}{6}}$

→ It is not possible to find 3 rational numbers between two consecutive rational numbers. Hence, we can expand it by multiplying both the numerator and denominator with 10.

$\sf{\dfrac{1}{6}\times\dfrac{10}{10}=\dfrac{10}{60}}$

$\sf{\dfrac{1}{3}\times\dfrac{10}{10}=\dfrac{20}{60}}$

→ Now it is possible to find 3 national numbers.

3 rational numbers between 1/6 and 1/3 are

11/60, 12/60, 13/60