What Number Must Be Subtracted To Both The Numerator And Denominator5/6 To Get 2/3

What number must be subtracted to both the numerator and denominator5/6 to get 2/3

 

Answer:

The number to be subtracted is 3.

Step-by-step explanation:

The number to be subtracted: x

Numerator: 5-x

Denominator: 6-x

Equation:

(5-x)/(6-x) = 2/3

Cross-multiply:

3(5-x) = 2(6-x)

15 - 3x = 12 - 2x

15-12 = -2x+3x

x = 3

The number to be subtracted is 3.

The new fraction equivalent to 2/3:

(5-3)/(6-3) = 2/3

2/3 = 2/3 (True)