Question

find 6 rational number between 1/2 and 5/8​

Answer 1

The six rational number between \frac{1}{2}

2

1

and \frac{5}{8}

8

5

are \frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}

56

29

,

56

30

,

56

31

,

56

32

,

56

33

,

56

34

.

Step-by-step explanation:

To find : Insert 6 rational number between \frac{1}{2}

2

1

and \frac{5}{8}

8

5

?

Solution :

First we make the denominator same,

We multiply numerator and denominator of \frac{1}{2}

2

1

by 4,

\frac{1}{2}=\frac{1\times 4}{2\times 4}=\frac{4}{8}

2

1

=

2×4

1×4

=

8

4

Then multiply numerator and denominator both numbers by 7,

\frac{4}{8}=\frac{4\times 7}{8\times 7}=\frac{28}{56}

8

4

=

8×7

4×7

=

56

28

\frac{5}{8}=\frac{5\times 7}{8\times 7}=\frac{35}{56}

8

5

=

8×7

5×7

=

56

35

Now, the numbers between 28 and 35 are 29,30,31,32,33,34.

Six rational number between \frac{28}{56}

56

28

and \frac{35}{56}

56

35

are \frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}

56

29

,

56

30

,

56

31

,

56

32

,

56

33

,

56

34

Therefore, the six rational number between \frac{1}{2}

2

1

and \frac{5}{8}

8

5

are \frac{29}{56},\frac{30}{56},\frac{31}{56},\frac{32}{56},\frac{33}{56},\frac{34}{56}

56

29

,

56

30

,

56

31

,

56

32

,

56

33