Question

The denominator of a fraction is 7 less than the numerator.

Decreasing the numerator by 2 and increasing the denominator by 1, we get the fraction5/3.
find the friction​

Answer 1

Answer:

X=12/5

Step-by-step explanation:

X/x-7=fraction

X-2/x-6 =5/3

3x-6=5x-30

X =12

So the fraction is 12/5

Answer 2

• Answer: 12/5  Step-by-step explanation: Let the numerator be x, then the denominator = (x–7) ATQ: x–2/x–7+1 = 5/3 x–2/x–6 = 5/3 By cross multiplication we get : 3*( x–2 ) = 5*( x–6 ) => 3x –6 = 5x –30 => 30 – 6 = 5x – 3x  => 24 = 2x => x = 12 Numerator = x = 12 and Denominator = (x–7) = 12 – 7 = 5 . Hence the fraction = 12/5. Now checking our answer : 12–2/ 5+1 = 10/6 = 5/3  Hence proved the fraction is 12/5.