Math, asked by namanvarshney12349, 1 month ago

.Insert 6 rational Numbers between 1/2 and 5/8​

Answers

Answered by Pratham9890
1

The six rational number between  and  are .

Step-by-step explanation:

To find : Insert 6 rational number between  and  ?

Solution :

First we make the denominator same,

We multiply numerator and denominator of  by 4,

Then multiply numerator and denominator both numbers by 7,

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

Six rational number between  and  are  

Therefore, the six rational number between  and  are .

Answered by shrutigunjal2006
0

Answer:

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

,

56

34

.

#Learn more

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