Hello! To simplify the expression 9/7x(6/5-12/7), we follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
First, in the parentheses, we simplify the expression: (6/5 - 12/7).
To simplify fractions, we need to find a common denominator. The least common multiple (LCM) of 5 and 7 is 35, so we can rewrite the expression as follows:
(6/5) - (12/7)
= (6/5)(7/7) - (12/7)(5/5)
= 42/35 - 60/35
Now that the fractions have the same denominator, we can subtract them:
= (42 - 60)/35
= -18/35
Now, we can substitute this result back into the original expression:
9/7x(-18/35)
Next, we perform the multiplication:
(9/7)(-18/35)
= (9*-18)/(7*35)
= -162/245
So, the simplified expression is -162/245.
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