Question

find 4 rational numbers between 1/2 and 5/7 by midway method ​

Answer 1

Answer:

Step-by-step explanation:

Rational number of 1/2 and 5/7 Are ....

1/2x7/7= 7/14

5/7x2/2 =10/14

Rational Number-: 8/14, 9/14,

Answer 2

The four rational numbers are 17/28, 16/28, 18/28, and 19/28.

Given:

1/2 and 5/7

To find:

4 rational number by midway methods

Solution:

We can obtain the required numbers as follows,

Using the midway method,

The rational number=1/2×(sum of given rational numbers)

=1/2×(1/2+5/7)

=1/2×(7×1+5×2)/(2×7)

=1/2×(17/14)

=17/2×14

=17/28

Now, we will convert the given fractions with a denominator equal to 28.

The fractions are-

1/2=1×14/2×14=14/28

5/7=5×4/7×4=20/28

The 4 rational numbers between 14/28 and 20/28 are 17/28, 16/28, 18/28, and 19/28.

Therefore, the required numbers are 17/28, 16/28, 18/28, and 19/28.

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