Multiply and divide rational numbers quick check use the properties of operations and rules for multiplying and dividing to solve -2×1/5÷2/3×5/6÷3/4

Answer 1

To solve this expression, we'll follow the order of operations (PEMDAS) and use the properties of operations and rules for multiplying and dividing.

Firstly, let's evaluate the expression from left to right:

-2 × 1/5 ÷ 2/3 × 5/6 ÷ 3/4

First, we'll simplify the multiplication and division from left to right:

-2 × 1/5 = -2/5 (simplifying the multiplication)
-2/5 ÷ 2/3 = -2/5 × 3/2 = (-2 × 3)/(5 × 2) = -6/10 = -3/5 (simplifying the division)
-3/5 × 5/6 = (-3 × 5)/(5 × 6) = -15/30 = -1/2 (simplifying the multiplication)
-1/2 ÷ 3/4 = -1/2 × 4/3 = (-1 × 4)/(2 × 3) = -4/6 = -2/3 (simplifying the division)

So, -2 × 1/5 ÷ 2/3 × 5/6 ÷ 3/4 simplifies to -2/3.