Solve: -2/3×3/5+5/2-3/5×1/6

PEMDAS or order of operations is a set of sequence of rules followed to perform operations in an arithmetic expression.

Answer: The value of the expression -2/3×3/5+5/2-3/5×1/6 is 2.

Let's evaluate the given expression.

Explanation:

Let's solve the given expression -2/3×3/5 + 5/2 - 3/5×1/6 by using the PEMDAS rule.

-2/3×3/5 + 5/2 - 3/5×1/6 = -(2×3)/(3×5) + 5/2 - (3×1)/(5×6)

                                      = -2/5 + 5/2 - 1/10

                                      = (-4+25)/10 - 1/10

                                      =  21/10 - 1/10

                                      = (21-1)/10

                                      = 20/10

                                      = 2

Therefore, the value of the expression -2/3×3/5+5/2-3/5×1/6 is 2.