Question

(1 11/24+13/36)*1,44-8/15*0,5625

Answer 1

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Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

Step 1: Perform the additions inside parentheses. 1 11/24 + 13/36 = (24/24) + (13/36) = 1 + 13/36

Step 2: Convert the mixed fraction into an improper fraction. 1 + 13/36 = (36/36) + (13/36) = 49/36

Step 3: Perform the multiplication. (49/36) * 1.44 = 49/36 * 1.44 = 70.2/36

Step 4: Convert the improper fraction back to a mixed fraction (if needed). 70.2/36 = 1 + 34.2/36

Step 5: Perform the multiplication. 8/15 * 0.5625 = 0.45

Now, let's proceed with the subtraction: (1 11/24 + 13/36) * 1.44 - 8/15 * 0.5625 = (1 + 34.2/36) * 1.44 - 0.45

Step 6: Perform the multiplication. (1 + 34.2/36) * 1.44 = 1.48 * 1.44 = 2.1312

Step 7: Perform the subtraction. 2.1312 - 0.45 = 1.6812

So, the final result of the expression is approximately 1.6812.