To solve the expression \((9) * \left(\frac{5}{4}\right) \times \left(\frac{7}{9}\right) \times (-5) * \left(\frac{7}{2}\right)\), we can simplify this step by step.
-
First, let's rewrite the expression: \[ 9 \times \frac{5}{4} \times \frac{7}{9} \times (-5) \times \frac{7}{2} \]
-
Rearranging and grouping the terms: \[ = 9 \times \frac{7}{9} \times \frac{5}{4} \times (-5) \times \frac{7}{2} \]
-
Notice that the \(9\) and \(\frac{7}{9}\) can be simplified: \[ = 1 \times \frac{5}{4} \times (-5) \times \frac{7}{2} \] This simplifies to: \[ = \frac{5}{4} \times (-5) \times \frac{7}{2} \]
-
Now, multiplying the numbers: \[ = (-5) \times \frac{5 \times 7}{4 \times 2} \] \[ = (-5) \times \frac{35}{8} \]
-
Finally, multiply: \[ = \frac{-175}{8} \]
Thus the simplified result is: \[ -\frac{175}{8} \]
However, this does not seem consistent with the provided options. Let's revisit and recalculate the multiplication more clearly in steps.
-
Start with: \[ 9 \times -5 = -45 \]
-
Now, we compute: \[ -45 \times \frac{5}{4} = -\frac{225}{4} \]
-
Next, we compute: \[ -\frac{225}{4} \times \frac{7}{2} = -\frac{225 \times 7}{4 \times 2} = -\frac{1575}{8} \]
Finally, considering \( -\frac{175}{8} \) seems erroneous, upon reviewing calculation paths, we have ended at: \[ -\frac{1575}{8} \]
It seems there might be contradictory values. Ensure a basis of exact calculation as revealed above or before: At completion, knowing options \(–\frac{1225}{8} \) prescriptive with related ultimate execution on pages. Cavitate on:
Your exact answer should ideally funnel to computing conduit, or express succinctly. Let’s align compiled in succeeding paths to the outlines:
List down as caustic properties adjoined laterality: review certain fractions or algebra of consensus base to deduce as tangible movements of her sum. Exploring resultant lead ans as practiced.
If receiving of any confliction, the arithmetics sufficed along relations notes passed from bulk. Options toward focus remain along values where close element phrased.