Question

the fraction has a numerator that is 2 less than its denominator.THE sum of the numerator and the denominator is 10.

Answer 1

Answer:

Denominator = 6, Numerator = 4, Number = 4/6

Step-by-step explanation:

Let Denominator be x

∴ Numerator = x - 2    [ 2 less than denominator]

According to Question

Numerator + Denominator = 10

x + x - 2 = 10

2x = 12

x = 6

∴ Denominator is 6

Numerator 4

And the number is 4/6

Answer 2

let the numerator is x and denominator is y
by first condition
x=y-2.........(1)
by second condition
x+y=10.........(2)
substitute the value of x in equation (2)
y-2+y=10
2y-2=10
2y=10+2
2y=12
y=12/2
y=6
substitute the value of y in (1)
x=y-2
x=6-2
x=4
the fraction is x/y
x/y=4/6=2/3
the fraction is 2/3