2/3 x n = 4/9
n= 2/3
Sorry. n=3/2 or 1.5
did you check your answer?
is (2/3)(3/2) = 4/9
( not when I went to school in the olden days)
Ok, then
(2/3)n = 4/9
multiply both sides by 3/2
(3/2)(2/3) n = (3/2)(4/9)
n = 12/18 = 2/3
(you had it right the first time)
To find the value of 'n' in the equation 2/3 x n = 4/9, you can follow these steps:
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of 'n' to isolate 'n'. The reciprocal of 2/3 is 3/2.
(2/3 x n) × (3/2) = (4/9) × (3/2)
Simplifying the left side of the equation:
(2/3) cancel with (3/2) -> (1/1) = n × (1/1) = n
On the right side:
(4/9) × (3/2) = (12/18)
So the equation becomes:
n = 12/18
Step 2: Simplify the fraction if possible. The numerator and denominator have a common factor of 6.
n = (12/6) / (18/6)
n = 2/3
Therefore, the value of 'n' that satisfies the equation 2/3 x n = 4/9 is n = 2/3.