Use the property of operation and rules for multiplying and dividing to solve
(8/9) x (-3/4) ÷(1/9) ×(-4/5)÷(3/5)
To solve the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), we can simplify the expression step by step using the properties of operations and rules for multiplying and dividing fractions.
First, let's simplify the multiplication and division from left to right:
(8/9) x (-3/4) = -24/36
Now, let's simplify the division:
-24/36 ÷ (1/9) = -24/36 x 9/1 = -24/4 = -6
Next, let's continue with the remaining division:
-6 × (-4/5) = 24/5
Finally, multiply by (3/5):
24/5 x 3/5 = 72/25
Therefore, the solution to the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is 72/25.
To solve the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5), let's break it down step by step:
Step 1: Multiply the numerators and denominators of the fractions:
(8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) = (8 x -3)/(9 x 4) ÷ (1 x -4)/(9 x 5) ÷ (3 x -5)/(5 x 1)
Step 2: Simplify the fraction resulting from the multiplication of numerators and denominators:
(-24)/(36) ÷ (-4)/(45) ÷ (-15)/(5)
Step 3: Divide the fractions by performing the division operation:
(-24)/(36) ÷ (-4)/(45) ÷ (-15)/(5) = (-24)/(36) x (45)/(-4) x (5)/(-15)
Step 4: Multiply the numerators and denominators of the fractions:
(-24 x 45)/(36 x -4) x (5 x -15)/(1)
Step 5: Simplify the fraction resulting from the multiplication of numerators and denominators:
(-1080)/(-144) x (-75) = 1080/144 x 75
Step 6: Divide the numerator by the denominator:
1080/144 x 75 = 7.5 x 75
Step 7: Perform the multiplication operation:
7.5 x 75 = 562.5
Therefore, the solution to the expression (8/9) x (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5) is 562.5.