Question

find the four rational numbers between the multiplicative inverse of -7/5 and -2​

Answer 1

Answer:

-19/28,-18/28,-17/28,-16/28

Step by step explanation:

Multiplicative inverse of -7/5 = 5/-7

Multiplicative inverse of -2 = 1/-2

Now,we have to find 4 rational numbers between 5/-7 and 1/-2.

Since, 5/-7 = -10/14 & 1/-2 = -7/14 ...(equivalent fractions)

Now,

$\frac{ - 10}{ \: \: \: \: 14} \times \frac{2}{2} = \frac{ - 20}{ \: \: \: \: 28}$

again,

$\frac{ - 7}{14} \times \frac{2}{2} = \frac{ - 14}{28}$

Now, It's clear that,

$\frac{ - 20}{28}< \frac{ - 19}{28} < \frac{ - 18}{28} < \frac{ - 17}{28} < \frac{ - 16}{28} < ... < \frac{ - 7}{28}$

Hence, 4 rational numbers between 5/-7 and 1/-2 are -19/28,-18/28,-17/28,-16/28.