Final answer:
To simplify the equation -3/5m(-2/7-1/4), first add the fractions inside the parentheses to get -15/28, then multiply this by -3/5m to get 45/(140m), which simplifies to 9/28m.
Step-by-step explanation:
To simplify the equation -3/5m(-2/7-1/4), we first simplify the expression inside the parentheses. We find a common denominator for the two fractions, which is 28, and rewrite them:
Adding these two gives us:
-8/28 - 7/28 = -15/2
Now we multiply this by -3/5m:
-3/5m * (-15/28) = 3/5m * 15/28
Multiplication of fractions involves multiplying the numerators together and denominators together:
(3 * 15)/(5m * 28) = 45/(140m)
We can simplify this further by dividing both the numerator and the denominator by 5:
45/5 = 9
140m/5 = 28m
So our simplified expression is:
9/28m