To simplify this expression, we first need to find a common denominator for the fractions involved.
The common denominator for 7, 3, 9, and 12 is 63.
(5/7) (9/9) - (2/3) (21/21) / (4/9) (7/7) - (5/12) (5/5)(45/63) - (42/63) / (28/63) - (25/63)(3/63) / (3/63)1
Therefore, (5/7-2/3)/(4/9-5/12) simplifies to 1.
To simplify this expression, we first need to find a common denominator for the fractions involved.
The common denominator for 7, 3, 9, and 12 is 63.
(5/7) (9/9) - (2/3) (21/21) / (4/9) (7/7) - (5/12) (5/5)
(45/63) - (42/63) / (28/63) - (25/63)
(3/63) / (3/63)
1
Therefore, (5/7-2/3)/(4/9-5/12) simplifies to 1.