Question

7. Write two rational numbers between
2/11 and 1/6​

Answer 1

Two required rational numbers are

$\frac{34}{198}$

198

34

and

$\frac{35}{198}$

198

35

.

Step-by-step explanation:

Consider the provided information.

$\frac{2}{11}$

11

2

can be written as:

$\frac{2}{11}\times\frac{18}{18} =\frac{36}{198}$

11

2

×

18

18

=

198

36

$\frac{1}{6}$

6

1

can be written as:

$\frac{1}{6}\times\frac{33}{33}=\frac{33}{198}$

6

1

×

33

33

=

198

33

The two rational number between

$\frac{33}{198}$

198

33

and

$\frac{36}{198}$

198

36

are:

$\frac{33}{198} < \frac{34}{198} < \frac{35}{198} < \frac{36}{198}$

198

33

<

198

34

<

198

35

<

198

36

Hence, two required rational numbers are

$\frac{34}{198}$

198

34

and

$\frac{35}{198}$

198

35

.

#Learn more

Find five rational numbers between 1 and 2

Answer 2

2/11×6/6=12/66

1/6×11/11=11/66

12/66×5/5, 11/66×5/5

=60/330, 55/330

2 rational numbers between 2/11 and 1/6

56/330, 57/330, 57/330, 59/330.