Question

find five rational numbers between 2/3 and 5/8​

Answer 1

Step-by-step explanation:

The rational numbers between a and B is a+b/2.

Here,

a= 2/3 and b = 5/8

Then,

(2/3 + 5/8)/2

= (16 + 15/24)/2. L.C.M.= 24

= (31/24)/2

= 31/24×2

= 31/48.

(2/3 + 31/48)/2

= ( 32 + 31/48)/2. L.C.M.= 48

= ( 63/48)/2

= 63/48×2

= 63/96.

(2/3 + 63/96)/2

= (64 + 63/96)/2. L.C.M.= 96

= (127/96)/2

= 127 /96 ×2

= 127/192.

(2/3 + 127/192)/2

= (128 + 127/192)/2. L.C.M.=192

= (255/192)/2

= 255/192×2

= 255/ 384.

(2/3 + 255/384)/2

= (256 + 255/384)/2. L.C.M.=384

= (511/384)/2

= 511/384 × 2

= 511/768.

Therefore, the three rational numbers between 2/3 and 5/8 are 31/48, 63/96, 127/192, 255/384,511/768.

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Answer 2

I think this may help you