Question

insert six rational numbers between 2/3 and 5/9​

Answer 1

Answer:

155/270, 159/270, 163/270, 168/270, 174/270, 201/270....

Step-by-step explanation:

Insert six rational number between 2/3 and 5/9

2/3 × 9 = 18/27

5/9 × 3 = 15/27

18/27 × 10 = 180/270

15/27 × 10 = 150/270

Six rational numbers are :- 155/270, 177/270, 189/270, 199/270, 207/270,243/270....

Answer 2

The given question is we have to insert the six rational numbers between

$\frac{2}{3} and \: \frac{5}{9}$

The rational number is a number that was expressed as a quotient or fraction.

The rational number should be in the form of

a numerator and a non zero denominator.

we have to find the rational numbers between 2/3 and 5/9.

we have to take LCM for these two numbers.

The LCM of 3 and 9 is 9.

$\frac{2}{3} \times 3 = \frac{6}{9}$

so the numbers are

$\frac{5}{9} and \: \frac{6}{9}$

we can't get a inbetween value for this so we have to multiply both numerator and denominator with a common number

let's that multiplier will be 20 we get

$\frac{100}{180} and \frac{120}{180}$

Then the rational numbers between them is

$\frac{101}{180} . \frac{103}{180} . \frac{107}{180} . \frac{111}{180} . \frac{113}{180} . \frac{119}{180}$

Therefore the six rational numbers are mentioned above

# spj2

https://brainly.in/question/17803383