Question

The denominator of a fraction is greater than its numerator by 10. If the numerator is increased by 2 and denominator is decreased by 5, the new fraction is equivalent with 1/2. Find the fraction. *​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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