The sum of the numerator and the denominator of a fraction is 12.If 1 is added to both numerator and the denominator fraction becomes 3/4.Find the fraction.
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Answer:
the fraction will be 5/7
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ᗩᑎՏᗯᗴᖇ:5/7
ՏTᗴᑭ ᗷY ՏTᗴᑭ ᗴ᙭ᑭᒪᗩIᑎ:
let numerator be x
so denominator is 12-x
then,add 1 in both
the numerator is x+1
and denominator is 12-x+1
and given new fraction is 3/4
By question,
or, x+1/12-x+1=3/4
4 (x+1)=3 (12-x+1)
4x+4=36-3x+3
4x+3x=36+3-4
7x=35
x=35/7
x=5
so, numerator is 5
and denominator is 12-5=7
the fraction is 5/7
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