Question

The denominator of a rational number is 2 less than twice the numerator. If the numerator and denominator are increased by 1 each, the rational number becomes 4/5 . Find the number.​

Answer 1

x=13/3

or

x=4 1/3(Mixed fraction)

or

x=4.33(A recurring decimal)

Step-by-step explanation:

Let the numerator and denominator of a fraction be 'x' and 'y' respectively.

Given,

• y=2x-2

Let y=2x-2 be Equation 1.

Also Given,

• x+1/y+1=4/5
• x+1/2x-2=4/5[y=2x-2]
• x+1=4(2x-2)/5[2x-2 is transposed to the other side]
• (x+1)5=4(2x-2)[5 is transposed to theother side]
• 5x+5=8x-8
• 5x+5+8=8x[-8 is transposed to the other side]
• +5+8=8x-5x[5x is transposed to the other side]
• 13=3x
• 3x=13[The sides have been changed]
• x=13/3[3 is transposed to the other side]
• x=13/3 or 4 1/3(Mixed fraction) or 4.33(Recurring decimal)