Question

insert five rational numbers between -2 / 3 and -1
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Answer 1

We have data in given question.

We have to find the five rational number

Step-by-step explanation:

Given ,

$\frac{ - 2}{3} \: and \: - 1$

Step-1:

Rational number : It is defined as the p/q where p and q are integers but q cant be equal to zero.

Rational number form :

$\frac{p}{q}$

We can rewrite given rational number ,

$\frac{ - 2}{3} \: and \: \frac{ - 1}{1}$

Now ,

Take LCM of 3 and 1 for the same denominator,

The LCM is 3

Multiply 1st rational number by 1 and 2nd rational number 3

$\frac{ - 2}{3} \: and \: \frac{ - 1 \times 3}{1 \times 3}$

$\frac{ - 2}{3} \: and \: \frac{ - 3}{3}$

Step-2:

We can't find so we have to multiply further ,

Multiply both terms by 6

$\frac{ - 2 \times 6}{3 \times 6} \: and \: \frac{ - 3 \times 6}{3 \times 6}$

$\frac{ - 12}{18} \: and \: \frac{ - 18}{18}$

Hence,

The five rational number are

$\frac{ - 13}{18} \: , \: \frac{ - 14}{18} , \frac{ - 15}{18} \: , \: \frac{ - 16}{18}, \frac{ - 17}{18}$

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Answer 2

Answer:

insert five rational numbers between -2 / 3 and -1