(2 1/2÷10+10÷2 1/2-2 1/6)×36/125

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Let's break down the equation step by step:

2 1/2 ÷ 10 = 2.5 ÷ 10 = 0.2510 ÷ 2 1/2 = 10 ÷ 2.5 = 42 1/6 as an improper fraction is 13/6Now we can rewrite the expression with the calculated values:

(0.25 + 4 - 13/6) × 36/125

Now we need to simplify the expression inside the parentheses:

0.25 + 4 = 4.25
4.25 - 13/6 = (4.25 * 6 - 13) / 6 = (25.5 - 13) / 6 = 12.5 / 6 = 2.0833

Substitute this value back into the original expression:

(2.0833) * 36/125

Now calculate the final result:

(2.0833) * (36) / (125) = 75.0018 / 125 = 0.6000

Therefore, (2 1/2 ÷ 10 + 10 ÷ 2 1/2 - 2 1/6) × 36/125 is equal to 0.6000.