Question

Do as directed.

1. The numerator of a rational number is smaller than its denominator by 3. If the numerator 1 is decreased by 1 and the denominator is increased by 2. the number becomes 1/3 . Find the rational number.​

Answer 1

Answer: Let the denominator of the rational Number be X.

Then,

Numerator = X-3

Therefore,

Fraction = Numerator / Denominator = X-3/X.

According to question,.

1-(X-3)/ X+2 = 1/3

1-X+3 / X+2 = 1/3

-X+4/X+2 = 1/3

3(-X+4) = 1(X+2)

-3X+12 = X+2

3X+X = 12-2

4X = 10

X = 10/4 = 5/2

Therefore,

Denominator = X = 5/2

Numerator = X-3 = 5/2 -3/1 = 5-6/2 = -1/2

Rational Number = Numerator/Denominator = -1/2 ÷ 5/2 = -1/5

HOPE IT WILL HELP YOU.... :-)