Question

21) The numerator of a fraction is 4 less than
its denominator. If the numerator is
decreased by 1, the fraction is equal to
Find the fraction.​

Answer 1

Answer:

Step-by-step explanation:

ʟᴇᴛ ᴛʜᴇ ɴᴜᴍᴇʀᴀᴛᴏʀ ʙᴇ x & ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ʙᴇ ʏ

ғʀᴀᴄᴛɪᴏɴ = ɴᴜᴍᴇʀᴀᴛᴏʀ/ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ = x/ʏ

ᴀᴛϙ

ᴄᴀsᴇ 1 :

x = ʏ - 4

x- ʏ = - 4 …………..(1)

ᴄᴀsᴇ 2 :

8(x - 2) = ʏ + 1

8x - 16 = ʏ + 1

8x - ʏ = 17………... (2)

ᴏɴ sᴜʙᴛʀᴀᴄᴛɪɴɢ ᴇϙ (2) ғʀᴏᴍ (1)

x - ʏ = - 4

8x - ʏ = 17

(-) (+) (-)

----------------

-7x = -21

x = 21/7

x = 3

ᴘᴜᴛ x = 3 ɪɴ ᴇϙ 1,

x - ʏ = - 4

3 - ʏ = - 4

ʏ = 3 + 4 = 7

ʏ = 7  

x = 3

ʏ = 7

ғʀᴀᴄᴛɪᴏɴ = x/ʏ = 3/7

ʜᴇɴᴄᴇ, ᴛʜᴇ ғʀᴀᴄᴛɪᴏɴ ɪs 3/7.