Use the properties of operations and rules for multiplying and dividing to solve: (-2) x (1/2) divide (2/3) x (-5/6) divide (3/4)
-2/3
-1/6
2/3
1/6
To solve this problem, follow the order of operations and rules for multiplying and dividing.
1. Multiply first: (-2) x (1/2) = -2/2 = -1
2. Next, multiply the fractions: (2/3) x (-5/6) = (2 x -5) / (3 x 6) = -10/18
3. Finally, divide the result by the last fraction: -10/18 ÷ (3/4) = (-10/18) x (4/3) = (-10 x 4) / (18 x 3) = -40/54
Simplifying the final fraction:
-40/54 = -20/27 = -2/3
So the final answer is -2/3.
To solve the expression: (-2) × (1/2) ÷ (2/3) × (-5/6) ÷ (3/4), follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
First, simplify the multiplication and division from left to right:
(-2) × (1/2) ÷ (2/3) × (-5/6) ÷ (3/4)
= -1 ÷ (2/3) × (-5/6) ÷ (3/4) (multiply -2 and 1/2)
= -1 × (3/2) × (-5/6) ÷ (3/4) (divide by 2/3)
= -1 × (-5/2) ÷ (3/4) × (2/3) (multiply by -5/6)
= 5/2 ÷ (3/4) × (2/3) (multiply by -1)
= 5/2 × (4/3) (divide by 3/4)
= (5 × 4) / (2 × 3) (multiply numerators and denominators)
= 20 / 6
= 10/3
So, the simplified expression is 10/3.
To solve the expression (-2) x (1/2) ÷ (2/3) x (-5/6) ÷ (3/4), we need to apply the properties of operations and the rules for multiplying and dividing fractions.
Step 1: Multiply the numerators and denominators of the first two fractions.
(-2) x (1/2) = -2/2 = -1
Step 2: Multiply the numerators and denominators of the next two fractions.
(2/3) x (-5/6) = (2 x -5) / (3 x 6) = -10/18
Step 3: Divide the two results obtained above.
-1 ÷ -10/18 = -1 x 18/(-10) = 18/10 = 9/5
Step 4: Multiply the result from step 3 by the next fraction.
(9/5) ÷ (3/4) = (9/5) x (4/3) = (9 x 4) / (5 x 3) = 36/15 = 12/5 = 2 2/5
Therefore, the answer to the expression is 2 2/5 or 12/5.