To simplify the first expression, we need to find a common denominator for the fractions in the denominator:
(1-4/9) / (1/3-1/4= (9/9 - 4/9) / (4/12 - 3/12= (5/9) / (1/12= (5/9) * (12/1= 60 / = 20/= 6 2/3
Next, let's simplify the second expression:
(5/7 - 2/3) / (4/9 - 5/12= ((60/84) - (56/84)) / ((48/108) - (45/108)= (4/84) / (3/108= (4/84) * (108/3= 432/25= 2 3/14
Therefore, (1-4/9)/(1/3-1/4) : (5/7-2/3)/(4/9-5/12) = 6 2/3 : 2 3/14
To simplify the first expression, we need to find a common denominator for the fractions in the denominator:
(1-4/9) / (1/3-1/4
= (9/9 - 4/9) / (4/12 - 3/12
= (5/9) / (1/12
= (5/9) * (12/1
= 60 /
= 20/
= 6 2/3
Next, let's simplify the second expression:
(5/7 - 2/3) / (4/9 - 5/12
= ((60/84) - (56/84)) / ((48/108) - (45/108)
= (4/84) / (3/108
= (4/84) * (108/3
= 432/25
= 2 3/14
Therefore, (1-4/9)/(1/3-1/4) : (5/7-2/3)/(4/9-5/12) = 6 2/3 : 2 3/14