Question

Find the rational number between -2/5 and 1/2​

Answer 1

Answer:

Converting the given rational numbers with the same denominators.

5

−2

=

5×4

−2×4

=

20

−8

and

2

1

=

2×10

1×10

=

20

10

We know that −8<−7<−6...<10

⇒

20

−8

<

20

−7

<

20

−6

<...<

20

10

Thus, we have the following ten rational number between

5

−2

and

2

1

20

−7

,

20

−6

,

20

−5

,

20

−4

,

20

−3

,

20

−2

,

20

−1

,0,

20

1

and

20

2

Step-by-step explanation:

Converting the given rational numbers with the same denominators.

5

−2

=

5×4

−2×4

=

20

−8

and

2

1

=

2×10

1×10

=

20

10

We know that −8<−7<−6...<10

⇒

20

−8

<

20

−7

<

20

−6

<...<

20

10

Thus, we have the following ten rational number between

5

−2

and

2

1

20

−7

,

20

−6

,

20

−5

,

20

−4

,

20

−3

,

20

−2

,

20

−1

,0,

20

1

and

20

2