Question

The demonitor of a fraction is greater than its numerator by 12 if the numerator is decread by 2 and the demonitor is increased by 7 the new fraction is equivalent with 1/2​

Answer 1

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$\red{Let\:the\:number\:is\:x}$

$\frac{12 - 2}{x + 7} = \frac{1}{2}$

$\frac{10}{x + 7} = \frac{1}{2}$

$x = \frac{1 - 7}{2 - 10}$

$x = \frac{6}{8}$

$x = \frac{3}{4}$

The answer is 3/4.

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Answer 2

Answer:

The fraction is 23/35

Step-by-step explanation:

Let the numerator be x

X-2/x+12+7=1/2

2(x-2)=x+19

2x-4=x+19

2x-x =19+4

X=23 numerator

Denominators =23+12=35

Prove it

23-2/35+7=1/2

21/42=1/2

1/2=1/2

Prove