Question

The denominator of a fraction is greater than its numerater
by 12. If the numerator is decreased by 2 and the
denominator is increased by 7 the new fraction is
equivalent with half . Find the new fraction
.​

Answer 1

Answer:

numerater

by 12. If the numerator is decreased by 2 and the

denominator is increased by 7 the new fraction is

equivalent with half . Find the new fraction

.

Answer 2

Answer:

Let the numerator of the fraction =x

Then denominator=12+x

So, fraction will be

12+x

x

New fraction:

numerator =x-2

denominator=12+x+7

=19+x

So, fraction will be

19+x

x−2

19+x

x−2

=

2

1

2(x−2)=19+x

2x−x=19+4

x=23

So, old fraction is

12+23

23

=

35

23

and new fraction is,

19+23

23−2

=

42

21

=

2

1