First, we need to simplify the expression inside the parentheses:(7/15 - 5/12) = ((7/15) - (5/12)) = (28/60 - 25/60) = 3/60 = 1/20(3/14 + 1/2) = ((3/14) + (7/14)) = 10/14 = 5/7
Now, we can multiply these simplified expressions together:(9/56 - 1/20) (5/7)= (9/56 - 1/20) (5/7)= ((45/280) - (14/280)) (5/7)= (31/280) (5/7)= 155/1960= 31/392
Therefore, the expression simplifies to 31/392.
First, we need to simplify the expression inside the parentheses:
(7/15 - 5/12) = ((7/15) - (5/12)) = (28/60 - 25/60) = 3/60 = 1/20
(3/14 + 1/2) = ((3/14) + (7/14)) = 10/14 = 5/7
Now, we can multiply these simplified expressions together:
(9/56 - 1/20) (5/7)
= (9/56 - 1/20) (5/7)
= ((45/280) - (14/280)) (5/7)
= (31/280) (5/7)
= 155/1960
= 31/392
Therefore, the expression simplifies to 31/392.