the denominator of a fraction is 6 more than its numerator if 2 is added both to the numerator and denominator the fraction becomes 1/2 find the fractions
Answers
Answered by
26
ʟᴇᴛ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ʙᴇ x
ᴀɴᴅ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴠᴇ (x+6)
ᴀғᴛᴇʀ ᴀᴅᴅɪɴɢ 2,
ɴᴇᴡ ɴᴜᴍᴇʀᴀʀᴏʀ = (x+2)
ɴᴇᴡ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ = (x+6+2)
= (x+8)
ɴᴇᴡ ғʀᴀᴄᴛɪᴏɴ= 1/2
(x+2)/(x+8)= 1/2
2(x+2) = 1(x+8)
2x+4 = x+8
2x-x = 8-4
x= 4
ʜᴇɴᴄᴇ,
ɴᴜɴᴇʀᴀᴛᴏʀ = x= 4
ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ = (x+6)= (4+6) = 10
ᴏʀɪɢɪɴᴀʟ ғʀᴀᴄᴛɪᴏɴ= 4/10 ᴏʀ 2/5
ᴀɴᴅ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴠᴇ (x+6)
ᴀғᴛᴇʀ ᴀᴅᴅɪɴɢ 2,
ɴᴇᴡ ɴᴜᴍᴇʀᴀʀᴏʀ = (x+2)
ɴᴇᴡ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ = (x+6+2)
= (x+8)
ɴᴇᴡ ғʀᴀᴄᴛɪᴏɴ= 1/2
(x+2)/(x+8)= 1/2
2(x+2) = 1(x+8)
2x+4 = x+8
2x-x = 8-4
x= 4
ʜᴇɴᴄᴇ,
ɴᴜɴᴇʀᴀᴛᴏʀ = x= 4
ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ = (x+6)= (4+6) = 10
ᴏʀɪɢɪɴᴀʟ ғʀᴀᴄᴛɪᴏɴ= 4/10 ᴏʀ 2/5
Similar questions