To solve the expression: 9 / (5/4) * (7/9) * (-5) / (7/2), we can simplify it step by step, following the order of operations (parentheses, multiplication/division from left to right, and addition/subtraction from left to right).
First, let's simplify the numerator:
9 * (-5) = -45
Next, let's simplify the denominator:
(5/4) * (7/9) * (7/2) = (5 * 7 * 7) / (4 * 9 * 2) = 245 / 72
Now, we can rewrite the expression as:
-45 / (245 / 72)
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore:
-45 / (245 / 72) = -45 * (72 / 245) = (-45 * 72) / 245 = -3240 / 245
Now, we can simplify the fraction -3240 / 245 by finding the greatest common divisor (GCD) and dividing both the numerator and denominator by it:
The GCD of 3240 and 245 is 5.
-3240 / 245 = (-3240 / 5) / (245 / 5) = -648 / 49
Therefore, the simplified expression is -648 / 49.
Use the properties of operations and rules for multiplying and dividing to solve. 9/ divided by (5/4) x (7/9) x (-5) divided by (7/2)
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