Question

(3¼+2¹/6):2³/5-⅔•2¼+5¹/6

Answer 1

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Answer 2

To solve this expression, we need to follow the order of operations, which is PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction).

Let's start by simplifying the expressions inside the parentheses:

3¼ + 2¹/6 = 13/4 + 13/6 = (39 + 26)/12 = 65/12

Now let's simplify the expression in the brackets:

2³/5 = 8/5

Next, let's simplify the expression with the multiplication and division:

• ⅔ • 2¼ = 2/3 • 9/4 = 6/12 = 1/2
• 8/5 - 1/2 = 16/10 - 5/10 = 11/10

Finally, we can divide 65/12 by 11/10:

65/12 ÷ 11/10 = 65/12 • 10/11 = 325/66

Therefore, the value of the expression is 325/66.