Question

insert three rational numbers between 4/13 and 1/13​

Answer 1

Answer:

Three rational number between \frac{4}{13}

13

4

and \frac{1}{13}

13

1

are \frac{15}{52},\frac{14}{52},\frac{13}{52}

52

15

,

52

14

,

52

13

.

Step-by-step explanation:

To find : Insert three rational number between \frac{4}{13}

13

4

and \frac{1}{13}

13

1

?

Solution :

Multiply and divide the numbers by 4,

\frac{4}{13}=\frac{4\times 4}{13\times 4}=\frac{16}{52}

13

4

=

13×4

4×4

=

52

16

\frac{1}{13}=\frac{1\times 4}{13\times 4}=\frac{4}{52}

13

1

=

13×4

1×4

=

52

4

The three numbers between 16 and 4 is 15,14,13.

The rational number between \frac{16}{52}

52

16

and \frac{4}{52}

52

4

are a

\frac{15}{52},\frac{14}{52},\frac{13}{52}

52

15

,

52

14

,

52

13

.

Therefore, three rational number between \frac{4}{13}

13

4

and \frac{1}{13}

13

1

are \frac{15}{52},\frac{14}{52},\frac{13}{52}

52

15

,

52

14

,

52

13

.

Answer 2

$\frac{1}{13} \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \: \: \frac{4}{13}$

$\frac{1}{13} \times \frac{4}{4} \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \frac{4}{13 } \times \frac{4}{4}$

$\frac{4}{52} < ( \frac{5}{52} < \frac{6}{52} < \frac{7}{52} < \frac{8}{52}) < \frac{16}{52}$

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