Question

the sum of numerator and denominator of the fraction is 8 If 1 is added to both numerator and denominator the fraction is increase by 1/15. find the fraction

Answer 1

Let numerator=x
denominator=y
Therefore x+y=8
Now x+1/y+1=1/15
15x+15=y+1
15x-y=-14
x+y=8
Adding both
16x=-6
x=-6/16=-3/8
y=11/8
Therefore fraction=x/y=-3/11

Answer 2

The part of a fraction that is above the line and signifies the number to be divided by the denominator.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

Numerator $=x$

denominator$=y$

$\therefore$ $x+y=8$.....(i)

$\frac{x+1}{y+1}=\frac{1}{15}$

$=15x+15=y+1$

$=15x-y=-14$ ......(ii)

Elementary if we get

$15x-y=-14$

$x+y=8$

$16x=-6$

$x=\frac{-6}{16}$

$x=-\frac{3}{8}$

$\therefore y$ is, $y=8+\frac{3}{8},\frac{67}{8}$

$\therefore \frac{x}{y} =\frac{-3}{8}\times \frac{8}{67}$

$=\frac{-3}{67}$

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