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) Make sure the answer is unsimplified
To solve the expression 9/[(5/4) x (7/9) x (-5)] ÷ (7/2), we need to remember the rules for multiplying and dividing fractions.
First, let's simplify each fraction within the brackets:
5/4 = 5 ÷ 4 = 1.25
7/9 = 7 ÷ 9 = 0.777777...
Now, let's multiply the fractions within the brackets:
(1.25) x (0.777777...) x (-5)
To multiply decimals, we simply multiply the numbers without considering their decimal points first:
1.25 x 0.777777... x (-5) = -4.629629...
Now, let's divide the result by the fraction outside the brackets:
-4.629629... ÷ (7/2)
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction:
-4.629629... x (2/7) = -1.324074...
Therefore, the answer to the expression 9/[(5/4) x (7/9) x (-5)] ÷ (7/2) without simplifying is approximately -1.324074...
To solve the expression: 9/[(5/4) * (7/9) * (-5)] / (7/2), we will simplify the expression step by step using the properties of operations and rules for multiplying and dividing.
Step 1: Simplify the expression inside the parentheses.
(5/4) * (7/9) = (35/36)
Step 2: Multiply the expression inside the parentheses with -5.
(35/36) * (-5) = -175/36
Step 3: Simplify the expression in the denominator after dividing by (7/2).
To divide by (7/2), we multiply by its reciprocal, which is 2/7.
-175/36 * (2/7) = -350/252
Step 4: Simplify the remaining fraction.
To simplify the fraction -350/252, we can find the greatest common divisor (GCD) and divide both the numerator and the denominator by it. The GCD of 350 and 252 is 14.
-350/252 = (-350 ÷ 14) / (252 ÷ 14) = -25/18
So, the unsimplified answer to 9/[(5/4) * (7/9) * (-5)] / (7/2) is -25/18.