Question

(1/4-2/3)×(4/5-2/5)×(-3/5)

Answer 1

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Answer 2

To solve the expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):

Step 1: Perform the operations inside the parentheses. (1/4 - 2/3) × (4/5 - 2/5) × (-3/5)

Inside the first set of parentheses: 1/4 - 2/3 = (3/12) - (8/12) = (-5/12)

Inside the second set of parentheses: 4/5 - 2/5 = (2/5)

Now, the expression becomes: (-5/12) × (2/5) × (-3/5)

Step 2: Perform the multiplications from left to right.

(-5/12) × (2/5) = (-10/60) = (-1/6)

Now the expression becomes: (-1/6) × (-3/5)

Step 3: Perform the final multiplication.

(-1/6) × (-3/5) = 3/30 = 1/10

Therefore, the final result of the expression is 1/10.