3. Find five rational numbers between the given pairsof rational numbers.
(a) 6/8 and 7/8
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3. Find five rational numbers between the given pairsof rational numbers.
(a) 6/8 and 7/8
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[tex] \underline \mathfrak \red{Question:- }[/tex]
Find five rational numbers between the given pairs of rational numbers.
[tex] \underline \mathfrak \red{Answer:- }[/tex]
[tex] \: \frac{6}{8} \\ \\ \frac{6}{8} \times \frac{10}{10} = \frac{60}{80} [/tex]
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[tex] \frac{7}{8} \\ \\ \frac{7}{8} \times \frac{10}{10} = \frac{70}{80} [/tex]
Therefore, five rational numbers between 6/8 and 7/8 are
[tex] \frac{61}{80} , \frac{62}{80} , \frac{63}{80} , \frac{64}{80} \: and \: \frac{65}{80} [/tex]
ʜᴇʀᴇ ᴡᴇ ᴅᴏɴᴛ ʜᴀᴠᴇ ᴛᴏ ᴛᴀᴋᴇ ʟ.ᴄ.ᴍ ᴛᴏ ᴍᴀᴋᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ sᴀᴍᴇ ʙᴇᴄᴀᴜsᴇ ᴛʜᴇ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀs ᴀʀᴇ ᴀʟʀᴇᴀᴅʏ sᴀᴍᴇ
ɴᴏᴡ , ᴡᴇ ᴡɪʟʟ ᴍᴜʟᴛɪᴘʟʏ 10 ᴏɴ ʙᴏᴛʜ ғʀᴀᴄᴛɪᴏɴs ᴀɴᴅ ᴀғᴛᴇʀ ᴍᴜʟᴛɪᴘʟʏɪɴɢ ᴛʜᴇ ɴᴜᴍʙᴇʀs ᴡᴇ ɢᴇᴛ ᴀʀᴇ ʀᴀᴛɪᴏɴᴀʟ ɴᴏ. ʙ/ᴡ ᴛʜᴇ ɢɪᴠᴇɴ ғʀᴀᴄᴛɪᴏɴs
= 6/8×10 ᴀɴᴅ 7/8×10
= 60/80 ᴀɴᴅ 70/80
sᴏ , ᴛʜᴇ ɴᴜᴍʙᴇʀs ʙ/ᴡ ᴛʜᴇᴍ ᴀʀᴇ ʀᴀᴛɪᴏɴᴀʟ
ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ᴛᴇʟʟ 5 ᴏɴʟʏ
sᴏ , ᴡᴇ ᴄᴀɴ sᴀʏ 61/80,62/80,63/80,64/80,65/80
ᴡᴇ ᴄᴀɴ ᴀʟsᴏ ᴛᴀᴋᴇ ᴀɴʏ ᴏʜᴛᴇʀ ɴᴜᴍʙᴇʀs
ʙ/ᴡ 60/80 ᴀɴᴅ 70/80
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