The numirator of a fraction is 4 less than is denominator if 5 is added then numenator and denominator lts value become 5/3 find the fraction.
Answers
Step-by-step explanation:
Let y be the denominator
Therefore, the numerator is y-4.
Therefore, the fraction is y-4/y
According to the given condition,y-4+5/y+5=5/3
y+1/y+5=5/3
3(y+1)=5(y+5)
3y+3=5y+25
3y-5y=25-3
-2y=22
y=-11
Therefore, the fraction is,
-11-4/-11
-15/-11
15/11
let numerator=x
then denominator=x+4
then the fraction=x/x+4
after 5 added to the numerator and denominator
the fraction is x+5/x+4+5=x+5/x+9
according to the question,
x+5/x+9=5/3
or,3(x+5)=5(x+9)
or,3x+15=5x+45
or,3x-5x=45-15
or,-2x=30
or,-x=15
or,x= -15
therefore the fraction= -15/-11=15/11
☬Fraction☬
Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection.